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^{10}\end{equation}

2.

Simplify. Express using positive exponents.

\begin{equation}7^{2} \times 7^{7}\end{equation}

3.

Simplify. Express using positive exponents.

\begin{equation}2 \times 2^{3} \times 2^{5}\end{equation}

4.

Simplify. Express using positive exponents.

\begin{equation}x^{9}x^{2}\end{equation}

5.

Simplify. Express using positive exponents.

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

6.

Simplify. Express using positive exponents.

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

7.

Simplify. Express using positive exponents.

\begin{equation}x^{8}y^{9}x^{10}y^{3}\end{equation}

8.

Simplify. Express using positive exponents.

\begin{equation}(-4)^{8} \times (-4)^{10}\end{equation}

9.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{3})^{8} \times 3^{2}\end{equation}

10.

Simplify. Express using positive exponents.

\begin{equation}x^{(-6)}x^{(-3)}x^{(-8)}\end{equation}

11.

Simplify. Express using positive exponents.

\begin{equation}\frac{7^{9}}{7^{5}}\end{equation}

12.

Simplify. Express using positive exponents.

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

13.

Simplify. Express using positive exponents.

\begin{equation}(\frac{1}{5})^{(-9)}\end{equation}

14.

Simplify. Express using positive exponents.

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

15.

Simplify. Express using positive exponents.

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

16.

Simplify. Express using positive exponents.

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

17.

Simplify. Express using positive exponents.

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

18.

Simplify. Express using positive exponents.

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

19.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{0}}{7}\end{equation}

20.

Simplify. Express using positive exponents.

\begin{equation}\frac{9x^{(-10)}y^{(-7)}}{z^{10}}\end{equation}

21.

Simplify. Express using positive exponents.

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

22.

Simplify. Express using positive exponents.

\begin{equation}\frac{9x^{(-4)}}{9^{2}yz^{(-7)}}\end{equation}

23.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{3}y^{5}}{x^{8}y^{9}}\end{equation}

24.

Simplify. Express using positive exponents.

\begin{equation}\frac{p^{3}q^{7}r^{0}}{s^{(-7)}t^{(-4)}}\end{equation}

25.

Simplify. Express using positive exponents.

\begin{equation}\frac{8x^{(-7)}yz^{(-4)}}{8 \times 10y^{0}}\end{equation}

26.

Simplify. Express using positive exponents.

\begin{equation}\frac{x^{5}x^{7}}{y^{9}y^{4}}\end{equation}

27.

Simplify. Express using positive exponents.

\begin{equation}(\frac{5x}{10y})^{(-8)}\end{equation}

28.

Simplify. Express using positive exponents.

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