Example 2

Simplify the expression [math]x^{–3} • y^0 • z^{–4} • x^5[/math]. Write the expression using only positive exponents.

[list=1] [*]Use the exponent rule [math]a^m • a^n = a^{m + n}[/math] to simplify the expression. [*]Use the exponent rule [math]a^0 = 1[/math] to further simplify the expression. [*]Use the exponent rule [math]a^{-m} = \frac{1}{a^m}[/math] to write the negative exponent as a positive exponent. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.

Example 1

Solve the equation [math]8x – 2y = 6[/math] for [math]y[/math].

[list=1] [*]Move the term with [math]x[/math] to the other side of the equation by adding its opposite to both sides of the equation. [*]Divide every term on both sides of the equation by the coefficient of [math]y[/math]. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.

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