\( \begingroup \)Question 1 Simplify the following questions, giving your answer in its simplest form (as a fraction - unless asked otherwise). Recall: $x^{\simplify{-a/b}}$ = $\frac{1}{(\sqrt[b]{x})^{a}}$ $x^{-a} = \frac{1}{x^{a}}$ You may need a calculator for some of the questions. a) $\var{c}^{\simplify{-1/{b}}}$ This question can alternatively be considered as being : $a^{\simplify{-1/b}}$ = $\frac{1}{\sqrt[b]{a}}$ Answer saved Not marked Feedback for . Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. What do you want to do next? ⤺ Go back to the previous part There's nothing more to do from here. Show stepsHide steps(Your score will not be affected.) Answer: Write your answer as a fraction.Expected answer: Save answer Score: 0/1 Feedback for a). Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. Or, you could: ⤺ Go back to the previous part There's nothing more to do from here.b) $\var{d}^{\simplify{-1/{a}}}$ This question can alternatively be considered as being : $a^{\simplify{-1/b}}$ = $\frac{1}{\sqrt[b]{a}}$ Answer saved Not marked Feedback for . Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. What do you want to do next? ⤺ Go back to the previous part There's nothing more to do from here. Show stepsHide steps(Your score will not be affected.) Answer: Write your answer as a fraction.Expected answer: Save answer Score: 0/1 Feedback for b). Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. Or, you could: ⤺ Go back to the previous part There's nothing more to do from here.c) $\var{h}^{\simplify{-{f}/{g}}}$ This question can alternatively be considered as being : $a^{\simplify{-c/b}}$ = $\frac{1}{(\sqrt[b]{a})^{c}}$ Answer saved Not marked Feedback for . Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. What do you want to do next? ⤺ Go back to the previous part There's nothing more to do from here. Show stepsHide steps(Your score will not be affected.) Answer: Write your answer as a fraction.Expected answer: Save answer Score: 0/1 Feedback for c). Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. Or, you could: ⤺ Go back to the previous part There's nothing more to do from here.d) $\var{l}^{\simplify{-{k}/{j}}}$ This question can alternatively be considered as being : $a^{\simplify{-c/b}}$ = $\frac{1}{(\sqrt[b]{a})^{c}}$ Answer saved Not marked Feedback for . Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. What do you want to do next? ⤺ Go back to the previous part There's nothing more to do from here. Show stepsHide steps(Your score will not be affected.) Answer: Write your answer as a fraction.Expected answer: Save answer Score: 0/1 Feedback for d). Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. Or, you could: ⤺ Go back to the previous part There's nothing more to do from here.e) $\var{f3}^{\simplify{-{f1}/{f2}}}$ This question can alternatively be considered as being : $a^{\simplify{-c/b}}$ = $\frac{1}{(\sqrt[b]{a})^{c}}$ Answer saved Not marked Feedback for . Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. What do you want to do next? ⤺ Go back to the previous part There's nothing more to do from here. Show stepsHide steps(Your score will not be affected.) Answer: Write your answer as a fraction.Expected answer: Save answer Score: 0/1 Feedback for e). Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. Or, you could: ⤺ Go back to the previous part There's nothing more to do from here.f) $(\var{sar}/\var{sar2})^{-2}$ Give your answer to the nearest whole number Firstly, you need to consider BODMAS and how this affects the above expression. Using laws of indices: $x^{-a}$ = $\frac{1}{x^{a}}$. Answer saved Not marked Feedback for . Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. What do you want to do next? ⤺ Go back to the previous part There's nothing more to do from here. Show stepsHide steps(Your score will not be affected.) Answer: Round your answer to the nearest integer.Expected answer: Save answer Score: 0/1 Feedback for f). Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. Or, you could: ⤺ Go back to the previous part There's nothing more to do from here.g) $(\var{sar3}/\var{sar4})^{-4}$ Give your answer to the nearest whole number Firstly, you need to consider BODMAS and how this affects the above expression. Using laws of indices: $x^{-a}$ = $\frac{1}{x^{a}}$. Answer saved Not marked Feedback for . Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. What do you want to do next? ⤺ Go back to the previous part There's nothing more to do from here. Show stepsHide steps(Your score will not be affected.) Answer: Round your answer to the nearest integer.Expected answer: Save answer Score: 0/1 Feedback for g). Show feedback.The feedback has changed.This feedback is based on your last submitted answer. Save your changed answer to get updated feedback. Or, you could: ⤺ Go back to the previous part There's nothing more to do from here. Advice Recall the laws of indices to help solve the problems: $x^a \times x^b = x^{a+b}$ $x^a \div x^b = x^{a-b}$ $x^{-a} = \frac{1}{x^a}$ $(x^a)^b = x^{ab}$ $(\frac{x}{y})^a = \frac{x^a}{y^a}$ $x^0 = 1$ $x^\frac{a}{b} = (\sqrt[b]{x})^{a}$ $x^{\simplify{-a/b}}$ = $\frac{1}{(\sqrt[b]{x})^{a}}$ $x^{-a} = \frac{1}{x^{a}}$ \( \endgroup \) Score: 0/7 Total 0/7 Move to the next questionTry another question like this oneReveal answers