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

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

Back

You add the exponents.

Front

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

Back

You subtract the exponents.

Front

What happens when you raise a power to another power?

Back

You multiply the exponents.

Front

What is the result of (2^3)(2^4)?

Back

2^(3+4) = 2^7.

Front

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

Back

x^(5-2) = x^3.

Front

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

Back

9x^4y^6.

Front

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

Back

125x^6y^6.

Front

What is the value of x^0?

Back

1, for any non-zero x.

Front

What is the result of (a^m)(a^n)?

Back

a^(m+n).