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WorksheetsLaws of Exponents - Definitions & Application
Total questions: 13
Worksheet time: 1hrs 15mins
Power of 1: a1
Anything to the zero power equals 1.
Keep the base the same and subtract the exponents.
Anything to the power of 1 equals itself.
Keep the base the same and add the exponents.
Keep the base the same and multiply the exponents.
Power of 0: a0
Anything to the zero power equals 1.
Keep the base the same and subtract the exponents.
Anything to the power of 1 equals itself.
Keep the base the same and add the exponents.
Keep the base the same and multiply the exponents.
Negative Power: a-n
Anything to the zero power equals 1.
Keep the base the same and subtract the exponents.
Take the reciprocal and make the exponent positive.
Keep the base the same and add the exponents.
Keep the base the same and multiply the exponents.
Power of a Product: an * am
Anything to the zero power equals 1.
Keep the base the same and subtract the exponents.
Take the reciprocal and make the exponent positive.
Keep the base the same and add the exponents.
Keep the base the same and multiply the exponents.
Power of a Quotient: an / am
Anything to the zero power equals 1.
Keep the base the same and subtract the exponents.
Take the reciprocal and make the exponent positive.
Keep the base the same and add the exponents.
Keep the base the same and multiply the exponents.
Power of a Power: (an)m
Anything to the zero power equals 1.
Keep the base the same and subtract the exponents.
Take the reciprocal and make the exponent positive.
Keep the base the same and add the exponents.
Keep the base the same and multiply the exponents.
Multiplying Exponents with DIFFERENT bases and the SAME exponent: an * bn
Keep the base the same and subtract the exponents.
Keep the exponent the same and multiply the base.
Take the reciprocal and make the exponent positive.
Keep the base the same and add the exponents.
Keep the base the same and multiply the exponents.
Simplify.
6x11
8x24
8x11
6x24
Simplify.
6
5
5x
0
Simplify.
2x17
2x23
5x17
5x23
Simplify.
81x10
81x24
12x24
12x10
Simplify.
2/x7
2/x-7
1/2x7
BONUS: Simplify.
1/x16
x8
x-6
1/x8
