Exponents and Product of Powers Property

Front

What is the Product of Powers Property?

Back

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

Front

Calculate (2^4)^3.

Back

2^(4*3) = 2^12.

Front

What is the value of 4^0?

Back

4^0 = 1 (Any non-zero number raised to the power of 0 is 1).

Front

Simplify 5^3 × 5^2.

Back

5^(3+2) = 5^5.

Front

What is 3^2 × 3^3?

Back

3^(2+3) = 3^5.

Front

Evaluate 10^2 × 10^4.

Back

10^(2+4) = 10^6.

Front

If a = 2, what is the value of a^3 × a^2?

Back

a^(3+2) = a^5 = 2^5 = 32.

Front

What is the value of 7^1?

Back

7^1 = 7 (Any number raised to the power of 1 is the number itself).

Front

Calculate (3^2)^4.

Back

3^(2*4) = 3^8.

Front

What is the result of 6^3 × 6^0?

Back

6^(3+0) = 6^3.