9.1&9.2 Exponent Rules and Solving HW

Front

Anything raised to a power of zero is always:

Back

1

Front

What is the product of -3xy^3 and (4xy)^2?

Back

-48x^3y^5

Front

Solve for x: (2x)^{\frac{2}{3}}=9

Back

\pm\frac{27}{2}

Front

What is the value of x^0?

Back

1

Front

What is the product rule of 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 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 quotient rule of exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^{m-n}.

Front

What is the power of a product rule?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the power of a quotient rule?

Back

When raising a quotient to a power, apply the exponent to both the numerator and denominator: (\frac{a}{b})^n = \frac{a^n}{b^n}.

Front

What is the value of 2^3?

Back

8