Exponents (product & power rule)

Front

What is the product rule for exponents?

Back

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

Front

What is the power rule for exponents?

Back

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

Front

Simplify: (-8m^2n^3) (2mn^6)

Back

-16m^3n^9

Front

Simplify: (3ab^2)^2 (2a^3b)^3

Back

72a^11b^7

Front

Simplify: (-7x^3y^2)^2

Back

49x^6y^4

Front

Simplify: (4st) (-3s^3) (t^5)

Back

-12s^4t^6

Front

Simplify: (-2mn) (3m^2n^4)^2

Back

-18m^5n^9

Front

What is the value of a^0?

Back

Any non-zero number raised to the power of 0 is 1: a^0 = 1.

Front

What happens when you divide powers with the same base?

Back

Subtract the exponents: a^m / a^n = a^(m-n).

Front

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

Back

x^(2*3) = x^6.