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 rule for simplifying powers raised to a power?

Back

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

Front

Simplify the expression \( w^{-2}(4w)^2 \).

Back

The simplified expression is \( 16 \).

Front

What is the simplified form of \( \frac{10h^5k^3}{24h^{-2}} \)?

Back

The simplified form is \( \frac{5h^7k^3}{12} \).

Front

What happens to the exponent when you divide two powers with the same base?

Back

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

Front

Simplify the expression \( (3x^4)^5 \).

Back

The simplified expression is \( 243x^{20} \).

Front

What is the value of \( a^0 \) for any non-zero number \( a \)?

Back

For any non-zero number \( a \), \( a^0 = 1 \).

Front

What is the result of multiplying a negative number raised to an even exponent?

Back

The result is a positive number.

Front

What is the result of multiplying a negative number raised to an odd exponent?

Back

The result is a negative number.