Basic Practice with the Exponent Laws

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For this exercise, you need ♥ INTERNET EXPLORER 6.0 and above, with MathPlayer installed.♥

ONE-STEP EXPONENT LAW PRACTICE

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The concepts for this exercise are summarized below. For a complete discussion, read the text.
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EXPONENT LAWS
Let x , y , m and n be real numbers, with the following exceptions:

a base and exponent cannot simultaneously be zero (since 00 is undefined);
division by zero is not allowed;
for non-integer exponents (like 12 or 0.4 ), assume that bases are positive.

Then,

xm xn =xm+ n	Verbalize: same base, things multiplied, add the exponents
x mx n= xm-n	Verbalize: same base, things divided, subtract the exponents
(x m)n =x mn	Verbalize: something to a power, to a power; multiply the exponents
(xy) m =xm ym	Verbalize: product to a power; each factor gets raised to the power
(x y)m =x my m	Verbalize: fraction to a power; both numerator and denominator get raised to the power

In this exercise you will practice with the exponent laws, all mixed-up.

EXAMPLES:
x² x^-5 = x^p   where   p = -3
x⁵ / x³ = x^p   where   p = 2
(x³)² = x^p   where   p = 6
1 / x⁷ = x^p   where   p = -7
1 / x^-7 = x^p   where   p = 7