Advanced Algebra II Chapter 5A Flashcard

Front

Select an expression equivalent to: (x^(2/3))^4

Back

∛x^8

Front

Simplify: a^1

Back

a

Front

Simplify: x^3y^9

Back

x^2y^4

Front

Write in exponential form: √x^5

Back

x^(5/2)

Front

Simplify completely: √256

Back

4

Front

What is the power rule for exponents?

Back

If a is a non-zero number and m and n are integers, then a^m * a^n = a^(m+n).

Front

What is the product of powers property?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient of powers property?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the power of a power property?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero is equal to one: a^0 = 1.