// Numbas version: exam_results_page_options {"name": "Ella's copy of Indices: expanded vs index form (algebraic)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"extendBaseMarkingAlgorithm": true, "showFeedbackIcon": true, "showCorrectAnswer": true, "scripts": {}, "sortAnswers": false, "stepsPenalty": "1", "marks": 0, "unitTests": [], "prompt": "

The expression $\\var{latex(expanded[0])}$ is in expanded form, the same expression in index form is [[0]].

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For example, $a\\times a\\times a\\times a$ is written as $a^4$ in index form.

In the above example, a is the base and 4 is the power/exponent/index. The power signifies how many bases are multiplied together.

Nice try!

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You need to use indices. Use ^ to signify indices.

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The expression $b^1$ is normally written as [[0]]

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$b^1$ just means there is one $b$. So we normally don't write the power. We normally just write $b$.

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The power is acting on the whole fraction, for example:

\\[\\left(\\frac{c}{x}\\right)^2=\\left(\\frac{c}{x}\\right)\\times\\left(\\frac{c}{x}\\right)=\\frac{c^2}{x^2}\\]

In general $\\left(\\frac{a}{b}\\right)^n=\\frac{a^n}{b^n}$

True

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False

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True or False:

The expression $\\displaystyle\\left(\\frac{c}{x}\\right)^\\var{p2}$ is equivalent to $\\displaystyle\\frac{c^\\var{p2}}{x}$.

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The power is acting on the whole bracket, for example:

\\[\\left(m\\times n\\right)^2=\\left(m\\times n\\right)\\times\\left(m\\times n\\right)=m^2\\times n^2\\]

In general $\\left(ab\\right)^n=a^n b^n$

True

", "

False

True or False:

The expression $\\displaystyle\\left(m\\times n\\right)^\\var{p1}$ is equivalent to $\\displaystyle m^\\var{p1} n^\\var{p1}$.

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Use ^ to signify indices.

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