Unit 6 Exponents Review

Front

What is the product of \( (7x^2y^8)(3xy^4) \)?

Back

\( 21x^3y^{12} \)

Front

Evaluate \( (-1)^{2016} \)

Back

1

Front

Simplify \( \frac{(6m^7)}{(4m^3)^2} \)

Back

\( \frac{3}{8}m \)

Front

Simplify \( (5p^9q^3)(2pq^7) \)

Back

\( 10p^{10}q^{10} \)

Front

Simplify \( (x^3 - 2x^2 + 3) + (2x^3 + 3x^2 - 1) \)

Back

\( 3x^3 + x^2 + 2 \)

Front

What is the definition of an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself.

Front

What is the product rule of exponents?

Back

When multiplying two powers with the same base, add the exponents: \( a^m \cdot a^n = a^{m+n} \)

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents: \( (a^m)^n = a^{m \cdot n} \)

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one: \( a^0 = 1 \) for \( a \neq 0 \)

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: \( a^{-n} = \frac{1}{a^n} \) for \( a \neq 0 \)