Algebra-1 Problems

5.2 Raising a Power to a Power


Problem #

Problem Statement

Problems Similar To

1.

Simplify. Express using positive exponents.

\begin{equation}(3^{10})^{5}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}((-8)^{7})^{10}\end{equation}

3.

Simplify. Express using positive exponents.

\begin{equation}(x^{10})^{10}\end{equation}

4.

Simplify. Express using positive exponents.

\begin{equation}(x^{6})^{(-5)}\end{equation}

5.

Simplify. Express using positive exponents.

\begin{equation}(x^{8})^{0}\end{equation}

6.

Simplify. Express using positive exponents.

\begin{equation}((x+6)^{3})^{4}\end{equation}

7.

Simplify. Express using positive exponents.

\begin{equation}((-3)x)^{(-8)}\end{equation}

8.

Simplify. Express using positive exponents.

\begin{equation}(x^{4})^{5}x^{3}\end{equation}

9.

Simplify. Express using positive exponents.

\begin{equation}(x^{2})^{(-4)}x^{4}\end{equation}

10.

Simplify. Express using positive exponents.

\begin{equation}(x^{8})^{(-10)}(x^{(-7)})^{(-3)}\end{equation}

11.

Simplify. Express using positive exponents.

\begin{equation}(x^{(-9)})^{(-10)}(x^{3})^{4}\end{equation}

12.

Simplify. Express using positive exponents.

\begin{equation}(x^{4}y)^{6}(x^{4}y^{6})^{9}\end{equation}

13.

Simplify. Express using positive exponents.

\begin{equation}(x^{2}y^{6})^{5}(x^{(-5)}y^{(-6)})^{2}x^{5}\end{equation}

14.

Simplify. Express using positive exponents.

\begin{equation}(x^{6}y^{3})^{(-9)}(x^{5}y^{(-4)})^{(-2)}\end{equation}

15.

Simplify. Express using positive exponents.

\begin{equation}((\frac{8xy}{9})^{(-5)})^{(-4)}\end{equation}

16.

Simplify. Express using positive exponents.

\begin{equation}(3x^{5})^{10}\end{equation}

17.

Simplify. Express using positive exponents.

\begin{equation}(3x^{5}y^{9})^{10}\end{equation}

18.

Simplify. Express using positive exponents.

\begin{equation}((-1)^{6})^{8}\end{equation}

19.

Simplify. Express using positive exponents.

\begin{equation}(x^{(\frac{4}{6})})^{3}\end{equation}

20.

Simplify. Express using positive exponents.

\begin{equation}(\frac{x^{2}}{y^{5}})^{9}\end{equation}

21.

Simplify. Express using positive exponents.

\begin{equation}(\frac{4x^{4}}{y^{7}})^{2}\end{equation}

22.

Simplify. Express using positive exponents.

\begin{equation}(\frac{8x^{2}}{5y^{6}})^{6}\end{equation}

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{(x^{3})^{3}}{(x^{2})^{9}}\end{equation}

24.

Simplify. Express using positive exponents.

\begin{equation}(\frac{x^{5}y}{xy^{3}})^{2}\end{equation}

25.

Find missing exponent

\begin{equation}A^{10}A^{x}=A^{(10+6)}\end{equation}

26.

Find missing exponent

\begin{equation}(A^{8})^{x}=A^{(8 \times 10)}\end{equation}

27.

Find missing exponent

\begin{equation}(3A^{x})^{5}=3^{5}A^{(5 \times 7)}\end{equation}