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

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 :$(0.87{)}^{-5}=2$
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: ${1.68}^{\frac{4}{3}}=2$
Answer:
a) 0.87
b) 4
c) 8
d) 1.68