Exponents Rules

Front

What is the product of powers rule in exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

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

Back

10m^6

Front

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

Back

1

Front

Simplify: (5^3 x^2 y^4)^0

Back

1

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify: (r^4)^6

Back

r^24

Front

Simplify: (2x^7)^3

Back

8x^21

Front

What is the quotient of powers rule in exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

Evaluate using the quotient of powers rule: a^8 / a^6

Back

a^2

Front

What happens when you multiply two powers with different bases?

Back

You cannot combine them; you can only multiply their coefficients.