Exponent Rules

Front

What is the rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, add their exponents.

Front

Simplify: (2^3)(2^2)

Back

2^(3+2) = 2^5 = 32

Front

What is the value of any non-zero number raised to the power of 0?

Back

1

Front

Simplify: (x^4)(x^3)

Back

x^(4+3) = x^7

Front

What is the rule for dividing powers with the same base?

Back

When dividing powers with the same base, subtract the exponents.

Front

Simplify: (5^4)/(5^2)

Back

5^(4-2) = 5^2 = 25

Front

What is the value of 10^1?

Back

10

Front

Simplify: (3x^2)(-2x^3)

Back

-6x^(2+3) = -6x^5

Front

What is the rule for raising a power to another power?

Back

When raising a power to another power, multiply the exponents.

Front

Simplify: (x^2)^3

Back

x^(2*3) = x^6