How do you write #10^-1# in decimal form?

1 Answer
Mar 14, 2018

Answer:

See a solution process below:

Explanation:

First, use this rule for exponents to rewrite the expression:

#x^color(red)(a) = 1/x^color(red)(-a)#

#10^color(red)(-1) => 1/10^color(red)(- -1) => 1/10^1#

Then, use this rule of exponents to simplify the denominator:

#a^color(red)(1) = a#

#1/10^color(red)(1) => 1/10#

#1/10 => 1" tenth " => 0.1#