$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\
%(-3)^-5 =1/x,
(-3)^{-5}=\cfrac{1}{x}\implies \cfrac{1}{(-3)^5}=\cfrac{1}{x}\implies 1\cdot x=(-3)^5\cdot 1\implies x=(-3)^5
\\\\\\
x=(-3)(-3)(-3)(-3)(-3)\implies x=-243$

7 0

2 years ago

4. Divide z(5z2 - 80) by 5z (z+4)

insens350 [35]

Answer:

z-4

Step-by-step explanation:

z(5z²-80) ÷ 5z(z+4) = z-4

Step-by-step explanation:

Given: z(5z²-80) ÷ 5z(z+4)

Calculation:

First we factor numerator z(5z²-80)

Take out 5 from 5z²-80 and we get 5z(z²-16)

Now we factor 16 = 4²

5z(z²-4²)

Using formula, (a²- b²)=(a+b)(a-b)

5z(z²- 4²)⇒5z(z+4)(z-4)

Simplified fraction

5z(z+4)(z-4) ÷ 5z(z+4)

Cancel like factor from numerator and denominator

⇒ z-4

Thus, z(5z²-80) ÷ 5z(z+4) = z-4

5 0

3 years ago

A sheet cake and a birthday cake are both made from the same batter. The sheet cake is in the shape of a rectangular prism that

NISA [10]

Volume of the sheet cake:
V ( prism ) = 12 * 9 * 2 = 216 in³
Volume of the birthday cake:
V ( cylinder ) = r² * π * h = 4.5² * 3.14 * 4 = 254.34 in³
Then we will use the proportion :
216 : 254.34 = 36000 : x
216 x = 254.34 * 3600
216 x = 915,660
x = 915.660 : 216
x = 4,239.17 ≈ 4,240
Answer:
d. 4,240

7 0

2 years ago

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