The value of 3431-3-641-3 is

The correct option is D 28 Given : (343)^1/3× (64)^1/3 is = (7 × 7 × 7 × 4 × 4 × 4)^1/3 =(7^3× 4^3)^1/3 =((7 × 4)^3)^1/3 ∵ (a^m)^n = (a)^m × n = (7 × 4)^3 ×1/ ...

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Byju's Answer

Standard VII

Mathematics

a^m x b^m = (ab)^m

The value of ...

Question

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

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Solution

The correct option is A
28

Given : $(343)^{\frac{1}{3}} \times (64)^{\frac{1}{3}}$ is

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

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

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

$∵ (a^{m})^{n} = (a)^{m \times n}$

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

= $28$

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The value of (343)13×(64)13 is

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

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