According to law of exponents a^n÷a^m=a^n m6^4/2^3=(2× 3)^4/2^30ex0ex=2^4×3^4/2^30ex0ex=2^4 3×3^40ex0ex=2× 810ex0ex=162Hence, the final answer is 162. ...

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Byju's Answer

Standard VII

Mathematics

Exponents in Fractions

Simplify 64/2...

Question

Simplify $\frac{6^{4}}{2^{3}}$ .

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Solution

According to law of exponents $a^{n} \div a^{m} = a^{n - m}$
$\frac{6^{4}}{2^{3}} = \frac{{(2 \times 3)}^{4}}{2^{3}} = \frac{2^{4} \times 3^{4}}{2^{3}} = 2^{4 - 3} \times 3^{4} = 2 \times 81 = 162$
Hence, the final answer is $162$ .

Suggest Corrections

Simplify 6423.

According to law of exponents an÷am=an-m6423=2×3423=24×3423=24-3×34=2×81=162Hence, the final answer is 162.

Simplify $\frac{6^{4}}{2^{3}}$ .

According to law of exponents $a^{n} \div a^{m} = a^{n - m}$
$\frac{6^{4}}{2^{3}} = \frac{{(2 \times 3)}^{4}}{2^{3}} = \frac{2^{4} \times 3^{4}}{2^{3}} = 2^{4 - 3} \times 3^{4} = 2 \times 81 = 162$
Hence, the final answer is $162$ .