Laws of Exponents (Worksheet) Cheat Sheet

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[See also Laws of Exponents (Exponent Rules)]

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Laws of Exponents (Worksheet)

¹ = 7

¹ = 3

¹ = 6

¹ = 2

x· x= x⁵

x· x= x⁷

x· x= x⁴

= x²

= x³

= x²

= x³

(x) = x⁶

(x) = x⁴

(x) = x⁸

(x) = x¹⁵

(x)= 8x³

(x)= 16x²

(x)= 243x⁵

(x)= 36x²

(

)

y²

(

)

125

y³

(

)

128

y⁷

(

)

y⁴

⁰ = 1

625

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About the Exercises in This Worksheet

The exercises cover all essential Laws of Exponents to help you master exponent rules. You'll practice the Identity Property (any number to the power of 1 remains itself), Product of Powers (adding exponents when multiplying like bases), and Quotient of Powers (subtracting exponents when dividing like bases). You'll also explore Power of a Power (multiplying exponents when raising a power to another power), Power of a Product (applying the exponent to each factor inside parentheses), and Power of a Quotient (applying the exponent to both the numerator and denominator). Additionally, you'll encounter the Zero Exponent Rule (any base to the power of zero equals one) and the Negative Exponent Rule (turning negative exponents into positive by taking the reciprocal). Each exercise is designed to build confidence with these foundational exponent rules.