Algebra-1 Problems

5.1 Multiplying and Dividing using exponents


Problem #

Problem Statement

Problems Similar To

1.

Simplify. Express using positive exponents.

\begin{equation}2^{5} \times 2^{9}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}8^{10} \times 8^{8}\end{equation}

3.

Simplify. Express using positive exponents.

\begin{equation}3 \times 3^{4} \times 3^{8}\end{equation}

4.

Simplify. Express using positive exponents.

\begin{equation}x^{4}x^{6}\end{equation}

5.

Simplify. Express using positive exponents.

\begin{equation}x^{(-8)}x^{(-5)}\end{equation}

6.

Simplify. Express using positive exponents.

\begin{equation}x^{7}x^{3}x^{6}\end{equation}

7.

Simplify. Express using positive exponents.

\begin{equation}x^{4}y^{9}x^{10}y^{3}\end{equation}

8.

Simplify. Express using positive exponents.

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

9.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{3})^{7} \times 3^{5}\end{equation}

10.

Simplify. Express using positive exponents.

\begin{equation}x^{(-8)}x^{(-7)}x^{(-4)}\end{equation}

11.

Simplify. Express using positive exponents.

\begin{equation}\frac{8^{7}}{8^{3}}\end{equation}

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

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

14.

Simplify. Express using positive exponents.

\begin{equation}(-2)^{(-9)}\end{equation}

15.

Simplify. Express using positive exponents.

\begin{equation}0^{5}\end{equation}

16.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{2}}{x^{4}}\end{equation}

17.

Simplify. Express using positive exponents.

\begin{equation}\frac{9 \times 3x^{10}}{9x^{10}}\end{equation}

18.

Simplify. Express using positive exponents.

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

19.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{0}}{2}\end{equation}

20.

Simplify. Express using positive exponents.

\begin{equation}\frac{8x^{(-4)}y^{(-8)}}{z^{9}}\end{equation}

21.

Simplify. Express using positive exponents.

\begin{equation}\frac{xy^{(-3)}}{10z^{(-7)}}\end{equation}

22.

Simplify. Express using positive exponents.

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

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{2}y^{2}}{x^{10}y^{3}}\end{equation}

24.

Simplify. Express using positive exponents.

\begin{equation}\frac{p^{7}q^{3}r^{0}}{s^{(-3)}t^{(-10)}}\end{equation}

25.

Simplify. Express using positive exponents.

\begin{equation}\frac{8x^{(-6)}yz^{(-9)}}{8 \times 7y^{0}}\end{equation}

26.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{6}x^{6}}{y^{6}y^{6}}\end{equation}

27.

Simplify. Express using positive exponents.

\begin{equation}(\frac{5x}{4y})^{(-6)}\end{equation}

28.

Simplify. Express using positive exponents.

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