Math Problem Statement

Approximate the number using a calculator. 7^2.2 round to three decimal places

Solution

The value of 72.27^{2.2} approximates to 72.313 when rounded to three decimal places.

Do you need further details or have any questions?

Here are 5 related questions for practice:

  1. What is 82.58^{2.5} rounded to three decimal places?
  2. Approximate 61.76^{1.7} to three decimal places.
  3. What is 92.39^{2.3} rounded to three decimal places?
  4. Calculate 53.25^{3.2} and round it to three decimal places.
  5. Approximate 42.14^{2.1} to three decimal places.

Tip: When dealing with non-integer exponents, try breaking the base and exponent into simpler components for mental approximation!

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Powers and Roots

Formulas

a^b where a is the base and b is the exponent

Theorems

Exponentiation rules for real numbers

Suitable Grade Level

Grades 9-12