Evaluate. 7^2 ·((2)/(7))^3

Name: Problem 57, Chapter 2: Prealgebra and Introductory Algebra
Uploaded: 2020-06-22T01:18:22-08:00
Duration: 52 s
Channel: Carson Merrill
Description: Evaluate. 7^2 ·((2)/(7))^3

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Key Concepts

Exponentiation

Exponentiation is the process of raising a base to a power, meaning the base is multiplied by itself a specified number of times. This concept is fundamental in algebra and is applied broadly, whether with integers, fractions, or variables.

Properties of Exponents

Properties of exponents, such as the product rule (which adds exponents when multiplying like bases) and the power of a quotient rule (which applies the exponent to both the numerator and the denominator), help simplify and evaluate expressions involving powers. These properties ensure consistent methods to combine and simplify expressions.

Exponentiation of Rational Numbers

When exponentiating a fraction, both the numerator and the denominator are raised to the given power. This is key for manipulating expressions that contain fractional bases, allowing such expressions to be simplified systematically.

Order of Operations

The order of operations establishes the sequence in which mathematical operations must be performed to obtain the correct result. In expressions that include exponentiation, multiplication, and division, applying exponents first, followed by multiplication and division, is essential to achieve the correct evaluation.

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