Exponent Laws Review

Front

What is the BASE in the power below? 4^3

Back

The base is 4.

Front

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

Back

-32x^5y^11

Front

Simplify the monomials: \frac{1}{3}(2a^3b)(6b^3)

Back

4a^3b^4

Front

According to exponent rules, when we multiply two powers with the same base, we _______ the exponents. Example: 2^6 ⋅ 2^4

Back

add

Front

Simplify: \frac{2}{2^{-4}x^4y^{-8}}

Back

\frac{32y^8}{x^4}

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself.

Front

What does the power 3^4 represent?

Back

3^4 represents 3 multiplied by itself 4 times: 3 × 3 × 3 × 3 = 81.

Front

What is the product of powers rule?

Back

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

Front

What is the power of a power rule?

Back

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

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).