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

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

Back

Raise each term to the power: 5^3 = 125, (x^2)^3 = x^6, (y^2)^3 = y^6; Result: 125x^6y^6.

Front

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

Back

True.

Front

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

Back

Subtract the exponents.

Front

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

Back

Multiply the exponents.

Front

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

Back

Add exponents: 3 + 2 = 5; Result: x^5.

Front

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

Back

Subtract exponents: 4 - 2 = 2; Result: x^2.

Front

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

Back

Add exponents: 3 + 2 = 5; Result: 2^5.

Front

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

Back

Multiply exponents: 2 * 3 = 6; Result: 3^6.

Front

What is the value of (x^0)?

Back

Any non-zero number raised to the power of 0 is 1; Result: x^0 = 1.