Simplifying Expressions and Exponents

Front

What is the product of (x^8)(x^-5)?

Back

x^3

Front

What is the result of (t^-6)^-5?

Back

t^30

Front

Using the quotient rule, simplify x^13 / x^8.

Back

x^5

Front

Simplify 6^12 / 6^6.

Back

6^6

Front

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

Back

12a^5b^6z^6

Front

What is the power of a product rule?

Back

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

Front

What is the power of a quotient rule?

Back

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

Front

What is the zero exponent rule?

Back

a^0 = 1, for any a ≠ 0.

Front

What is the negative exponent rule?

Back

a^-n = 1/a^n

Front

What is the definition of an exponent?

Back

An exponent indicates how many times to multiply a number by itself.