Laws of Exponents (Review)

Front

What is the law of exponents that applies when multiplying two expressions with the same base?

Back

When multiplying two expressions with the same base, you add the exponents.

Front

How do you simplify the expression (-yx^2z^3)(4y^0z)^2?

Back

The simplified expression is -16x^2yz^5.

Front

What is the result of simplifying (3x^4)^5?

Back

The result is 243x^{20}.

Front

What is the simplified form of the expression (-3x^2yz^3)/(9z^{10}x)?

Back

The simplified form is -xy/(3z^7).

Front

What happens to the exponents when you divide two expressions with the same base?

Back

When dividing two expressions with the same base, you subtract the exponents.

Front

What is the law of exponents that applies when raising a power to another power?

Back

When raising a power to another power, you multiply the exponents.

Front

What is the value of y^0 for any non-zero value of y?

Back

y^0 is equal to 1 for any non-zero value of y.

Front

How do you simplify the expression r^2(3st^4)^2?

Back

The simplified expression is 9r^4s^2t^8.

Front

What is the result of simplifying the expression (a^m)(a^n)?

Back

The result is a^(m+n).

Front

What is the result of simplifying the expression (a^m)/(a^n)?

Back

The result is a^(m-n).