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: (5cd^4)(2c^3d^2)

Back

10c^4d^6

Front

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

Back

72a^11b^7

Front

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

Back

-18m^5n^9

Front

Simplify: (-x^2y^4)(2xy^5)(3y)

Back

-6x^3y^10

Front

Simplify: -(2xy)(4x^2y^5)^2

Back

-32x^5y^11

Front

What happens to the exponents when multiplying terms with the same base?

Back

The exponents are added together.

Front

What happens to the exponents when dividing terms with the same base?

Back

The exponents are subtracted: a^m / a^n = a^(m-n).

Front

If a^0 = 1, what does this mean for any non-zero number a?

Back

Any non-zero number raised to the power of zero equals one.