Multiplying Powers with the Same Base

Front

What is the product of powers with the same base?

Back

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

Front

Simplify: (2m^4)(5m^2)

Back

10m^6

Front

What happens when you multiply a coefficient with powers?

Back

Multiply the coefficients and add the exponents of the same base. For example, (2a^m)(3a^n) = 6a^(m+n).

Front

Simplify: (c^5)(c^3)(c^3)

Back

c^11

Front

What is the rule for multiplying powers?

Back

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

Front

Simplify: x^4 * x^12

Back

x^16

Front

What is the coefficient in the expression 2a^2b^4z?

Back

The coefficient is 2.

Front

Simplify: (2a^2b^4z)(6a^3b^2z^5)

Back

12a^5b^6z^6

Front

What is the result of multiplying 2 * 2^2 * 2^2?

Back

2^5

Front

Define 'exponent' in mathematics.

Back

An exponent is a number that indicates how many times to multiply the base by itself.