Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate.

0.1^(4)=

Evaluate.\newline0.14=0.1^{4}=

Full solution

Q. Evaluate.\newline0.14=0.1^{4}=
  1. Identify base and exponent: Identify the base and the exponent of 0.140.1^4. In 0.140.1^4, 0.10.1 is the base raised to the exponent 44. Base: 0.10.1 Exponent: 44
  2. Choose expanded form: Choose the expanded form of 0.140.1^4.\newlineExpanded form of 0.140.1^4:\newline0.1×0.1×0.1×0.10.1 \times 0.1 \times 0.1 \times 0.1\newline0.140.1^4 means 0.10.1 is multiplied by itself 44 times.\newlineExpanded Form: 0.1×0.1×0.1×0.10.1 \times 0.1 \times 0.1 \times 0.1
  3. Multiply for simplest form: 0.14=0.1×0.1×0.1×0.10.1^4 = 0.1 \times 0.1 \times 0.1 \times 0.1\newlineMultiply to write in simplest form.\newline0.140.1^4\newline=0.1×0.1×0.1×0.1= 0.1 \times 0.1 \times 0.1 \times 0.1\newline=0.0001= 0.0001\newlineSimplest form: 0.00010.0001

More problems from Powers with negative bases

QuestionGet tutor helpright-arrow

Posted 7 months ago

QuestionGet tutor helpright-arrow

Posted 9 months ago