Exercise
$\left(\frac{3z^4}{f^7}\right)^5$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression ((3z^4)/(f^7))^5. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Simplify \left(f^7\right)^5 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 7 and n equals 5. Multiply 7 times 5. Multiply 7 times 5.
Simplify the expression ((3z^4)/(f^7))^5
Final answer to the exercise
$\frac{243z^{20}}{f^{35}}$