The value of 7291-3-641-3 is

The correct option is B 36 Given (729)^1/3× (64)^1/3 (729 × 64)^1/3 (∵ a^m × b^m= (a× b)^m) = (9 × 9 × 9 × 4 × 4 × 4)^1/3 = (9^3 × 4^3)^1/3 = ((9 × 4)^3)^1 ...

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Byju's Answer

Standard VII

Mathematics

Exponent Numbers with Different Base and Same Power

The value of ...

Question

The value of $(729)^{\frac{1}{3}} \times (64)^{\frac{1}{3}}$ is

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Solution

The correct option is B
36

Given $(729)^{\frac{1}{3}} \times (64)^{\frac{1}{3}}$

$(729 \times 64)^{\frac{1}{3}}$ ( $∵ a^{m} \times b^{m} = (a \times b)^{m}$ )

$= (9 \times 9 \times 9 \times 4 \times 4 \times 4)^{\frac{1}{3}}$

$= (9^{3} \times 4^{3})^{\frac{1}{3}}$

$= ((9 \times 4)^{3})^{\frac{1}{3}}$

$= 9 \times 4 = 36$

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The value of (729)13×(64)13 is

The correct option is B 36 Given (729)13×(64)13 (729×64)13 (∵am×bm= (a×b)m) =(9×9×9×4×4×4)13 =(93×43)13 =((9×4)3)13 =9×4=36

The value of $(729)^{\frac{1}{3}} \times (64)^{\frac{1}{3}}$ is