Laws of Exponents (Review)

Front

What is the product of two powers with the same base?

Back

When multiplying two powers with the same base, you add the exponents.

Front

Simplify the expression \( (-4r^5)(2r^8) \).

Back

The simplified expression is \( -8r^{13} \).

Front

What is the simplified form of \( \frac{-3x^2yz^3}{9z^{10}x} \)?

Back

The simplified form is \( -\frac{xy}{3z^7} \).

Front

How do you simplify the expression \( -yx^2z^3(4y^0z)^2 \) using the laws of exponents?

Back

The simplified expression is \( -16x^2yz^5 \).

Front

What happens to the exponent when you raise a power to a power?

Back

When raising a power to a power, you multiply the exponents.

Front

What is the simplified form of \( \frac{(2p^5m)^{-2}}{p} \)?

Back

The simplified form is \( \frac{1}{4m^2p^{11}} \).

Front

What is the value of any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero is equal to 1.

Front

What is the quotient of two powers with the same base?

Back

When dividing two powers with the same base, you subtract the exponents.

Front

What does \( y^0 \) equal for any non-zero value of y?

Back

For any non-zero value of y, \( y^0 = 1 \).

Front

How do you simplify \( (a^m)(a^n) \)?

Back

You simplify it to \( a^{m+n} \).