Evaluate Exponents and Simplify Exponential Expressions

Step-by-step solutions for evaluating negative exponents like (7^-3), fractional powers like (3/4)^-2, and simplifying expressions using the laws of exponents.

Answer

Based on the image provided, here are the step-by-step solutions to the math problems.

Question 1: Evaluate each of the following

This question involves negative exponents. Recall the rule:

(a)
Using the rule

(b)
Using the rule

Question 2: Find each of the following

This question involves laws of exponents. Recall the rules:

, and

(a)
Since

(Alternatively, using : )

(b)
Note that

is the same as

.
Using the laws of exponents:

and

(d)
This expression does not simplify into a single power. We calculate the values:

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