Question
Using laws of exponent, simplify and write the answer in exponential form: $\left(5^2\right)^3 \div 5^3$
✓
Answer
By the law of exponents, $\left(a^m\right)^n=a^{m \times n}$
$a^m \div a^n=a^{m-n}$
by applying the first law, we have $\left(5^2\right)^3=5^{2 \times 3}=5^6$
$\left(5^2\right)^3 \div 5^3=5^6 \div 5^3$
By applying the second law, we have $5^6 \div 5^3=5^{6-3}=5^3$
$\left(5^2\right)^3 \div 5^3=5^3$
$a^m \div a^n=a^{m-n}$
by applying the first law, we have $\left(5^2\right)^3=5^{2 \times 3}=5^6$
$\left(5^2\right)^3 \div 5^3=5^6 \div 5^3$
By applying the second law, we have $5^6 \div 5^3=5^{6-3}=5^3$
$\left(5^2\right)^3 \div 5^3=5^3$
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