Answer with positive exponent =
or ![\frac{1}{5^3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%5E3%7D)
Answer with negative exponent = ![5^{-3}](https://tex.z-dn.net/?f=5%5E%7B-3%7D)
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Explanation:
The rule we use is
![a^b*a^c = a^{b+c}](https://tex.z-dn.net/?f=a%5Eb%2Aa%5Ec%20%3D%20a%5E%7Bb%2Bc%7D)
If we multiply two exponential expressions with the same base, then we add the exponents.
The base for each is 5. The exponents 4 and -7 add to -3.
This means
![5^4*5^{-7} = 5^{4+(-7)} = 5^{-3}](https://tex.z-dn.net/?f=5%5E4%2A5%5E%7B-7%7D%20%3D%205%5E%7B4%2B%28-7%29%7D%20%3D%205%5E%7B-3%7D)
To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.
So, ![5^{-3} = \left(\frac{1}{5}\right)^3 = \frac{1^3}{5^3} = \frac{1}{5^3}](https://tex.z-dn.net/?f=5%5E%7B-3%7D%20%3D%20%5Cleft%28%5Cfrac%7B1%7D%7B5%7D%5Cright%29%5E3%20%3D%20%5Cfrac%7B1%5E3%7D%7B5%5E3%7D%20%3D%20%5Cfrac%7B1%7D%7B5%5E3%7D)
Answer:
Volume of a parallelogram is v=whl
Area of s parallelogram is A= bh
Circumference of a circle= rd
Area of a circle= rd^2
Area of a triangle is 1/a <em>bh</em>
Area of a trapezoid is 1/2(b1 + b2)h
Perimeter of a quadrilateral is 2L + 2W
I couldn't drag the image but I knew what I was doing!
Answer:
Ms. Barclay ordered 9 cupcakes.
Step-by-step explanation:
$1.25x9=11.25
11.25+3.25=$14.50
Answer:
You could find the unit rate by dividing the first term of the ratio by the second term.
Answer:
$5.85
Step-by-step explanation:
Divide 29.45 by 5 and the answer equal one pair