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

2.

Simplify. Express using positive exponents.

\begin{equation}8^{5} \times 8^{3}\end{equation}

3.

Simplify. Express using positive exponents.

\begin{equation}8 \times 8^{6} \times 8^{4}\end{equation}

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

\begin{equation}x^{3}x^{6}x^{2}\end{equation}

7.

Simplify. Express using positive exponents.

\begin{equation}x^{9}y^{2}x^{10}y^{6}\end{equation}

8.

Simplify. Express using positive exponents.

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

9.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{10})^{2} \times 10^{6}\end{equation}

10.

Simplify. Express using positive exponents.

\begin{equation}x^{(-5)}x^{(-10)}x^{(-3)}\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{2}{9})^{(-6)}\end{equation}

13.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{10})^{(-3)}\end{equation}

14.

Simplify. Express using positive exponents.

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

15.

Simplify. Express using positive exponents.

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

16.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{6}}{x^{5}}\end{equation}

17.

Simplify. Express using positive exponents.

\begin{equation}\frac{6 \times 2x^{2}}{6x^{2}}\end{equation}

18.

Simplify. Express using positive exponents.

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

19.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{0}}{8}\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)}}{7z^{(-3)}}\end{equation}

22.

Simplify. Express using positive exponents.

\begin{equation}\frac{5x^{(-8)}}{5^{2}yz^{(-7)}}\end{equation}

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{2}y^{10}}{x^{4}y^{5}}\end{equation}

24.

Simplify. Express using positive exponents.

\begin{equation}\frac{p^{7}q^{4}r^{0}}{s^{(-2)}t^{(-7)}}\end{equation}

25.

Simplify. Express using positive exponents.

\begin{equation}\frac{3x^{(-7)}yz^{(-7)}}{3 \times 2y^{0}}\end{equation}

26.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{5}x^{9}}{y^{8}y^{7}}\end{equation}

27.

Simplify. Express using positive exponents.

\begin{equation}(\frac{4x}{6y})^{(-10)}\end{equation}

28.

Simplify. Express using positive exponents.

\begin{equation}-(\frac{-x}{7y})^{(-6)}\end{equation}