Product and Power to a Power Properties

Front

What is the product of the powers property?

Back

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

Front

What is the power of a power property?

Back

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

Front

Calculate: (c^5)(c^3)(c^3)

Back

c^11.

Front

Calculate: (-2x^6)^3

Back

-8x^{18}.

Front

Calculate: (ab^6)^2

Back

a^2b^{12}.

Front

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

Back

add.

Front

Calculate: (-3x^7)^2

Back

9x^{14}.

Front

What happens to the base when multiplying powers with the same base?

Back

The base remains the same.

Front

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

Back

x^6.

Front

If a^3 * a^4 = a^n, what is n?

Back

n = 7.