Answer
$\frac{0.16}{x^{4}}$
Work Step by Step
When we raise a power to a power, we multiply the powers together and keep the base. Let's multiply the exponent of each term by the exponent outside of the parentheses:
$(2^2x^{(-3)(2)})(0.2^{2}x^{2})$
Multiply the exponents:
$(4x^{-6})(0.04x^{2})$
Simplify the expression by multiplication:
$(0.16x^{-6})(x^{2})$
When multiplying exponents with the same base, we add the exponents and keep the same base:
$0.16x^{-4}$
We cannot leave the answer this way with negative exponents. With negative exponents, we move the bases into the denominator, which will make the exponents positive:
$\frac{0.16}{x^{4}}$
