Question

simplify the following 8⅓ . 7⅓​

Answer 1

Step-by-step explanation:

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Answer 2

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Simplify :-

• 8⅓ × 7⅓

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• It's easy to simplify this problem as well by using suitable exponential rule.

• Here, using the below identity, we would get it simplified.

$\boxed{ {a}^{m} \times {b}^{m} = {ab}^{m} }$

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Let's simplify,

${8}^{ \frac{1}{ 3} } \times {7}^{ \frac{1}{3} } \\ \implies \: (8 \times 7) {}^{ \frac{1}{3} } \\ \implies \: 56 {}^{ \frac{1}{3} }$

• we can further simplify by using the below exponential rule, i.e -

$\boxed{{a}^{m} = \frac{1}{ {a}^{ - m} } }$

${56}^{ \frac{1}{3} } = {56}^{ - 3}$

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∴ 8⅓×7⅓ = 56⅓

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