Exponent Rules

Front

What is the product of (2x^5)(6x^4)?

Back

Multiply coefficients: 2 * 6 = 12; Add exponents: 5 + 4 = 9; Result: 12x^9.

Front

True or False: When multiplying powers with the same base, you add the exponents.

Back

True

Front

What is (5x^2y^2)^3?

Back

125x^6y^6 (Apply the power of a power rule: (a^m)^n = a^(m*n)).

Front

When dividing powers with the same base, what do we do with the exponents?

Back

Subtract the exponents.

Front

When raising a power to another power, what do we do with the exponents?

Back

Multiply the exponents.

Front

What is the result of (x^3)(x^2)?

Back

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

Front

What is the result of (x^5)/(x^2)?

Back

x^(5-2) = x^3.

Front

What is the value of (3^2)^3?

Back

3^(2*3) = 3^6 = 729.

Front

What is the result of (2x^3)(4x^2)?

Back

Multiply coefficients: 2 * 4 = 8; Add exponents: 3 + 2 = 5; Result: 8x^5.

Front

What is the value of x^0?

Back

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