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^{2} \times 2^{3}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}4^{5} \times 4^{7}\end{equation}

3.

Simplify. Express using positive exponents.

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

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

\begin{equation}x^{7}x^{4}x^{6}\end{equation}

7.

Simplify. Express using positive exponents.

\begin{equation}x^{4}y^{9}x^{7}y^{4}\end{equation}

8.

Simplify. Express using positive exponents.

\begin{equation}(-7)^{10} \times (-7)^{9}\end{equation}

9.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{10})^{3} \times 10^{4}\end{equation}

10.

Simplify. Express using positive exponents.

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

11.

Simplify. Express using positive exponents.

\begin{equation}\frac{8^{5}}{8^{7}}\end{equation}

12.

Simplify. Express using positive exponents.

\begin{equation}(\frac{7}{5})^{(-10)}\end{equation}

13.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{4})^{(-4)}\end{equation}

14.

Simplify. Express using positive exponents.

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

15.

Simplify. Express using positive exponents.

\begin{equation}0^{8}\end{equation}

16.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

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

18.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{(-9)}}{y^{(-6)}}\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{7x^{(-5)}y^{(-8)}}{z^{4}}\end{equation}

21.

Simplify. Express using positive exponents.

\begin{equation}\frac{xy^{(-2)}}{10z^{(-7)}}\end{equation}

22.

Simplify. Express using positive exponents.

\begin{equation}\frac{10x^{(-4)}}{10^{2}yz^{(-3)}}\end{equation}

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{6}y^{5}}{x^{7}y^{9}}\end{equation}

24.

Simplify. Express using positive exponents.

\begin{equation}\frac{p^{5}q^{3}r^{0}}{s^{(-2)}t^{(-3)}}\end{equation}

25.

Simplify. Express using positive exponents.

\begin{equation}\frac{10x^{(-6)}yz^{(-6)}}{10 \times 5y^{0}}\end{equation}

26.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{6}x^{3}}{y^{5}y^{2}}\end{equation}

27.

Simplify. Express using positive exponents.

\begin{equation}(\frac{8x}{6y})^{(-4)}\end{equation}

28.

Simplify. Express using positive exponents.

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