### Home > INT3 > Chapter 1 > Lesson 1.2.1 > Problem1-67

1-67.

Simplify each of the following expressions. Be sure that your answers have no parentheses and no negative or fractional exponents. Homework Help ✎

1. $27^{1/3}$

What number, raised to the power of $3$, is $27$?

$\text{Another way to write it is }\sqrt[3]{27}.$

$3$

1. $(5x^7y^{-1})^{-2}$

Recall the Laws of Exponents.

$\text{Remember that }n^{-2}=\frac{1}{n^2}.$

$\frac{\large{y^2}}{\large{25x^{14}}}$

1. $(3x^9·y^{−4})(6x^{-8}y^4)$

$\left(3\cdot6\right)\left(x^9\cdot x^{-8}\right)\left(y^{-4}\cdot y^4\right)$