Multiplying Exponents with the Same Base | Exponent Rules | Math with Mr. J

What is the rule for multiplying exponents with the same base?

• Multiply the bases and add the exponents.

• Keep the base the same and multiply the exponents.

• Keep the base the same and add the exponents.

• Add the bases and keep the exponent the same.

Simplify the expression: x^4 * x^6

• x^10

• x^24

• 2x^10

• x^2

When multiplying x^a * x^b, why do we add the exponents (a+b)?

• Because the bases are different.

• Because it represents multiplying 'x' a total of (a+b) times.

• Because 'a' and 'b' are always prime numbers.

• Because it's a shortcut that doesn't have a logical reason.

Simplify the expression: 3^5 * 3^2

• 3^10

• 9^7

• 3^7

• 3^3