Simplifying Exponents

Front

What is the value of (5^3 x^2 y^4)^0?

Back

1

Front

Simplify (8y^3)^6.

Back

8^6 y^18

Front

What is the result of simplifying (x^14)^3?

Back

x^42

Front

Simplify (-4r^5)(2r^8).

Back

-8r^13

Front

Evaluate the expression using the quotient rule: x^13 / x^8.

Back

x^5

Front

What is the power of a product rule?

Back

(ab)^n = a^n b^n

Front

What is the power of a power rule?

Back

(a^m)^n = a^{m*n}

Front

What is the power of a quotient rule?

Back

(a/b)^n = a^n / b^n

Front

What happens when you raise a number to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1.

Front

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

Back

81x^8