By what number should $2^{-3}$ be multiplied so that the product is $16$.

Using the laws of exponents, simplify and write the answer in exponential form.

${\left(-3\right)}^5\times {\left(-3\right)}^2\times {\left(-3\right)}^1$

Using the laws of exponents, simplify and write the answer in exponential form.

$\left(6^{11}\times 6^7\times 6^3\right)÷6^5$

Using the laws of exponents, simplify and write the answer in exponential form.

${\left(3^2\right)}^3÷3^5$

Using the laws of exponents, simplify and write the answer in exponential form.

${\left\{{\left(-5\right)}^2\right\}}^3\times {\left\{{\left(-5\right)}^{-3}\right\}}^2$

State true or false and justify your answer.

$3\times 5^3={15}^3$

State true or false and justify your answer.

$2^3>3^2$.