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Simplification & Approximation · Question 40 of 71

Question 40

EasyOriginal question

Simplify 25×23÷262^5 \times 2^3 \div 2^6.

Options for question 40

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Same base: add the powers when multiplying and subtract when dividing.

  2. 25+3−6=22=42^{5 + 3 - 6} = 2^2 = 4.

Worth noting

Forgetting the division leaves 28=2562^8 = 256; multiplying the powers 5 and 3 gives 215−6=29=5122^{15 - 6} = 2^9 = 512.

Concept
Product and quotient laws of indices
Typical time
30 s
Your time
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The rule this testsPowers, roots and surds
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Ten questions from Simplification & Approximation, at your own pace.

Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.