Question

What is the answer to this

Answer 1

A.) 2 to the 30th power
b.) x to the 36th power
c.) y to the 33rd power
d.) z to the 0th power

Answer 2

Answers:

• a) 2^30
• b) x^36
• c) y^33  
• d) 1

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Explanation:

The rule you use is

(a^b)^c = a^(b*c)

For something like (2^5)^6, we have a = 2, b = 5, c = 6

So,

(a^b)^c = a^(b*c)

(2^5)^6 = 2^(5*6)

(2^5)^6 = 2^30

because 2^30 is so massive, it's likely your teacher will want you to keep 2^30 as is and not use your calculator to find what it turns into.

The other expressions are simplified in a similar manner.

For part (d), you'll use the rule x^0 = 1, where x is nonzero.