Exponent Rules BLITZ 12/10/24

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 4², 2 is the exponent.

Front

What is the product of (3x³y) and (2x⁸y⁵)?

Back

6x¹¹y⁶

Front

True or False: The exponent in 5³ is 3.

Back

True

Front

Write the product (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) as a power.

Back

(-2)⁵

Front

What is the simplified form of 1²²?

Back

1²² = 1, since any number raised to any power is still 1.

Front

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

Back

When multiplying powers with the same base, add the exponents. For example, x² ⋅ x³ = x^(2+3) = x⁵.

Front

What is the rule for dividing powers with the same base?

Back

When dividing powers with the same base, subtract the exponents. For example, x⁵ ÷ x² = x^(5-2) = x³.

Front

What is the value of 2⁰?

Back

2⁰ = 1, because any non-zero number raised to the power of zero is 1.

Front

What is the result of (x²)³?

Back

(x²)³ = x^(2*3) = x⁶.

Front

What is the power of a product rule?

Back

The power of a product rule states that (ab)ⁿ = aⁿbⁿ.