Negative Rule for Exponents

When simplifying in exponential form I will _____________ when I see a negative exponent.

• Multiply all exponents with the same base and then they are positive

• Reciprocate all bases with negative exponents, then rewrite with exponent being positive

• Divide all exponents with the same base and then they are positive

• Do nothing

Simplify:
 $\frac{9}{x^{-7}}$  

•  $9x^7$  

•  $\frac{x^7}{9}$  

•  $\frac{1}{9x^7}$  

• Already Simplified

Simplify:
 $-3x^{-9}$  

•  $-\frac{x^9}{3}$  

•  $\frac{1}{3x^9}$  

•  $\frac{x^9}{3}$  

•  $-\frac{3}{x^9}$  

Simplify:
 $\frac{x^{-5}}{y}$  

•  $\frac{1}{x^5y}$  

•  $\frac{y}{x^5}$  

•  $\frac{x^5}{y}$  

•  $x^5y$  

Simplify:
 $\frac{4x^{-6}}{\left(-2y^{-4}\right)}$  

•  $\frac{y^4}{2x^6}$  

•  $-\frac{y^4}{2x^6}$  

•  $-\frac{2y^4}{x^6}$  

•  $2x^6y^4$  

Simplify:
 $\frac{2}{2^{-4}x^4y^{-8}}$  

•  $\frac{10y^8}{x^4}$  

•  $8x^4y^8$  

•  $\frac{8y^8}{x^4}$  

•  $\frac{32y^8}{x^4}$  

REVIEW: SIMPLIFY
 $\sqrt{192}$  

• 13.9

•  $8\sqrt{3}$  

•  $3\sqrt{8}$  

• 1.5

The opposite of rational numbers are...

• Integers

• Irrational

• Whole

• Natural

What is  $j\cdot j\cdot j\cdot j\cdot j$  in standard form if  $j\ =\left(-2\right)$  

• 32

• -32

• 10

• -10

What is  $-\left(j\cdot j\cdot j\cdot j\cdot j\right)$  in standard form if  $j\ =\left(-3\right)$  

• 243

• -243

• 15

• -15