# 1. Evaluate the following exponentials with explanations. You may need to use a calculator with a Y x key. EXAMPLE: X -1/4. If X = 4, this gives _0.70

1. Evaluate the following exponentials with explanations. You may need to use a calculator with a Y x key.
EXAMPLE: X $-1/4$. If X = 4, this gives _0.7071__. Compute to two decimal places or more.
a. X $-1/5$ , When X = 2, this gives ____.
b. X 1 , When X = 4, this gives ____.
c. X $1/2$, When X = 64, this gives ____.
d. X $3/4$ , When X = 2, this gives ____.
My last question was rejected with the explanation that their is no formulas that go with a-d. This is the exact question the instructor asked us to work on.
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Bentley Leach

a) Calculating ${2}^{\frac{-1}{5}}$ to 2 decimal places:
Raising the result to the power -5 should give us 2 back.
${2}^{\frac{1}{5}}=0.87$
Explanation :$\left(0.87{\right)}^{-5}=2$
b) Calculating ${4}^{1}$ :
Any number raised to the power 1 is equivalent to the number itself. So in this case the result is 4.
${4}^{1}=4$
Explanation: Any number raised to the power 1 is the number itself
c) Calculating ${64}^{\frac{1}{2}}$:
Squaring the result obtained should give us 64.
${64}^{\frac{1}{2}}=8$
Explanation: ${8}^{2}=64$
d) Calculating ${2}^{\frac{3}{4}}$ to 2 decimal places:
The result when raised to the power $4/3$ should give us 2.
${2}^{\frac{3}{4}}=1.68$
Explanation: ${1.68}^{\frac{4}{3}}=2$
a) 0.87
b) 4
c) 8
d) 1.68