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^{7}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}3^{9} \times 3^{6}\end{equation}

3.

Simplify. Express using positive exponents.

\begin{equation}4 \times 4^{6} \times 4^{3}\end{equation}

4.

Simplify. Express using positive exponents.

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

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

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

7.

Simplify. Express using positive exponents.

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

8.

Simplify. Express using positive exponents.

\begin{equation}(-6)^{2} \times (-6)^{9}\end{equation}

9.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{8})^{6} \times 8^{7}\end{equation}

10.

Simplify. Express using positive exponents.

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

11.

Simplify. Express using positive exponents.

\begin{equation}\frac{9^{8}}{9^{3}}\end{equation}

12.

Simplify. Express using positive exponents.

\begin{equation}(\frac{10}{5})^{(-4)}\end{equation}

13.

Simplify. Express using positive exponents.

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

14.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

\begin{equation}\frac{8 \times 6x^{2}}{8x^{10}}\end{equation}

18.

Simplify. Express using positive exponents.

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

19.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{0}}{3}\end{equation}

20.

Simplify. Express using positive exponents.

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

21.

Simplify. Express using positive exponents.

\begin{equation}\frac{xy^{(-10)}}{8z^{(-10)}}\end{equation}

22.

Simplify. Express using positive exponents.

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

23.

Simplify. Express using positive exponents.

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

24.

Simplify. Express using positive exponents.

\begin{equation}\frac{p^{9}q^{3}r^{0}}{s^{(-10)}t^{(-4)}}\end{equation}

25.

Simplify. Express using positive exponents.

\begin{equation}\frac{4x^{(-10)}yz^{(-3)}}{4 \times 2y^{0}}\end{equation}

26.

Simplify. Express using positive exponents.

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

27.

Simplify. Express using positive exponents.

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

28.

Simplify. Express using positive exponents.

\begin{equation}-(\frac{-x}{10y})^{(-8)}\end{equation}