Exponent Rules

Front

What are exponent rules?

Back

Exponent rules are mathematical guidelines that describe how to handle operations involving powers or exponents, including multiplication, division, and raising powers to powers.

Front

True or False: When dividing powers with the same base, you subtract the exponents.

Back

True

Front

When multiplying powers with the same base, what do you do with the exponents?

Back

You add the exponents.

Front

Solve: (2x^5)(6x^4)

Back

12x^9 (Multiply coefficients: 2*6=12; Add exponents: 5+4=9)

Front

According to exponent rules, when we multiply powers, we _______ the exponents.

Back

add

Front

What is the result of (5x^2y^2)^3?

Back

125x^6y^6 (Raise coefficients: 5^3=125; Multiply exponents: 2*3=6)

Front

When dividing powers with the same base, what do you do with the exponents?

Back

You subtract the exponents.

Front

Solve: (x^3)(x^2)

Back

x^5 (Add exponents: 3+2=5)

Front

What happens when you raise a power to another power?

Back

You multiply the exponents.

Front

Solve: (x^4)^2

Back

x^8 (Multiply exponents: 4*2=8)