The value of -343-64 is

The correct option is A 28 √(343)×√(64) = √(343 × 64) (∵ a^m × b^n= (a× b)^n) = √(7 × 7 × 7 × 4 × 4 × 4) =(7^3× 4^3)^1/3 =((7 × 4)^3)^1/3 ∵ (a^m)^n = (a)^m ...

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Byju's Answer

Standard VIII

Mathematics

Power of a Power

The value of ...

Question

The value of $\sqrt[3]{343} \times \sqrt[3]{64}$ is

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- 28

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Solution

The correct option is A
28

$\sqrt[3]{343} \times \sqrt[3]{64} = \sqrt[3]{343 \times 64}$ ( $∵ a^{m} \times b^{n} = (a \times b)^{n}$ )

$= \sqrt[3]{7 \times 7 \times 7 \times 4 \times 4 \times 4}$

= $(7^{3} \times 4^{3})^{\frac{1}{3}}$

= $((7 \times 4)^{3})^{\frac{1}{3}}$

$∵ (a^{m})^{n} = (a)^{m \times n}$

$= (7 \times 4)^{3 \times \frac{1}{3}}$

= $28$

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Similar questions

Q. The value of

\sqrt[3]{343} \times \sqrt[3]{- 64}

is:

The value of $(343)^{\frac{1}{3}} \times (64)^{\frac{1}{3}}$ is

Factorize $64 a^{3} - 343 b^{3}$

Q. Evaluate;

\frac{^{3} \sqrt{- 125 \times 343}}{^{3} \sqrt{(- 27)} \times (- 64)}

Q. Factorize:
64x³ − 343

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The value of 3√343×3√64 is

The correct option is A 28 3√343×3√64=3√343×64 (∵am×bn= (a×b)n) =3√7×7×7×4×4×4 =(73×43)13 =((7×4)3)13 ∵(am)n = (a)m×n =(7×4)3×13 =28

The value of $\sqrt[3]{343} \times \sqrt[3]{64}$ is