Question

Value of 8^⅕ × 4^⅕ =​

Answer 1

Answer:

2

Step-by-step explanation:

8^(1/5) x 4^(1/5)          

Powers are same so we can multiply the bases

= 32^(1/5)

= 2x2x2x2x2^(1/5)

= 2

Answer 2

Answer:

2

Step-by-step explanation:

$8^{\frac{1}{5} } * 4^{\frac{1}{5} }$

According to laws of exponents, since exponents are equal, we multiply directly

$8^{\frac{1}{5} } * 4^{\frac{1}{5} }\\\\= 32^{\frac{1}{5} }$

According to laws of irrational numbers.

$a^{\frac{1}{n} } = \sqrt[n]{a}$

So,

$32^{\frac{1}{5} } = \sqrt[5]{32}\\= 2$

∴ value of 8^1/5 x 4^1/5 = 2

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