Understanding and applying the laws of exponents to numerical expressions (integral exponents)

Rewrite: 4^-3

Simplify.

 $\frac{18b^4}{2b^8}$   

•  $9b^{-4}=\frac{9}{b^4}$  

•  $16b^{-4}=\frac{16}{b^4}$  

•  $9b^2$  

What is the correct rule for simplifying negative exponents?

• For every non-zero number, a and integer,n: $a^{-n}=\frac{1}{a}$

• For every non-zero number, a and integer,n: $a^{-n}=a^n$

• For every non-zero number, a and integer,n: $a^{-n}=\frac{1}{a^n}$

• For every non-zero number, a and integer,n: $a^{-n}=0$

Simplify the expression so that it contains only positive exponents.

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Pg. 18

x^-3

• -x³

• 1 / x³

• 1 / x^-3

• -x^-3

Simplify

-(48)¹

• -48

• 48

• 0

• -1

Can you leave a negative exponent in your answer?

• YES
• NO

If (25)^-2 = 5ⁿ, then n = ____

• n = -4
• n = 4
• n = 6
• n = -6