Multiply Exponents

Front

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

Back

When multiplying two exponents with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

How do you multiply exponents with different bases?

Back

When multiplying exponents with different bases, you cannot combine them directly. You can express the product as a single expression, e.g., a^m * b^n.

Front

What is the exponent rule for multiplying powers?

Back

The exponent rule for multiplying powers states that when you multiply two powers with the same base, you add the exponents.

Front

What is the value of 6^3 * 6^4?

Back

Using the exponent rule, 6^3 * 6^4 = 6^(3+4) = 6^7.

Front

What is the value of 7^2 * 7^5?

Back

Using the exponent rule, 7^2 * 7^5 = 7^(2+5) = 7^7.

Front

If a = 2 and b = 3, what is the value of a^3 * b^2?

Back

If a = 2 and b = 3, then a^3 * b^2 = 2^3 * 3^2 = 8 * 9 = 72.

Front

What is the product of 8^2 and 8^3?

Back

Using the exponent rule, 8^2 * 8^3 = 8^(2+3) = 8^5.

Front

How do you simplify (x^2)^3?

Back

To simplify (x^2)^3, you multiply the exponents: (x^2)^3 = x^(2*3) = x^6.

Front

What is the value of 9^1 * 9^0?

Back

Any number raised to the power of 0 is 1, so 9^1 * 9^0 = 9 * 1 = 9.

Front

What is the result of 4^3 * 4^2?

Back

Using the exponent rule, 4^3 * 4^2 = 4^(3+2) = 4^5.