Question

Write with a positive exponent and simplify: 2^(-6)

Answer 1

Hello :)

`\mathbb{ANSWER:}`

1/64

`\mathbb{STEP-BY-STEP\;EXPLANATION:}`

Our task is to write 2^(-6) with a positive exponent.

Recall the exponent law:

`\sf{x^(-n)=\cfrac{1}{x^n}}`

Similarly,

• 
  `\sf{2^(-6)=\cfrac{1}{2^6}}=\cfrac{1}{64}}`

Answer 2

Hello!

Answer:

`\Large \boxed{\sf0.015625}`

Explanation:

We have this formula:

`\sf x^((-a)) = (1)/(x^(a))`

Let's replace x by 2 and a by 6:

`\sf \sf 2^((-6)) = (1)/(2^(6))`

Simplify the fraction:

`\sf (1)/(2^(6)) = (1)/(2 * 2 * 2 * 2 * 2 * 2) = (1)/(64) = \boxed{\sf0.015625}`