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EXERCISE 2 Without using your calculator, perform the indicated operations for ...

Jul 14, 2024

EXERCISE 2 Without using your calculator, perform the indicated operations for the following exponential expressions. a) b) c)

Solution by Steps

step 1

Consider the exponential expression given. Let's assume it is of the form

a^m \cdot a^n

step 2

Using the property of exponents:

a^m \cdot a^n = a^{m+n}

step 3

Simplify the expression by adding the exponents

Part (b)

step 1

Consider the exponential expression given. Let's assume it is of the form

\left(a^m\right)^n

step 2

Using the property of exponents:

\left(a^m\right)^n = a^{m \cdot n}

step 3

Simplify the expression by multiplying the exponents

Part (c)

step 1

Consider the exponential expression given. Let's assume it is of the form

\frac{a^m}{a^n}

step 2

Using the property of exponents:

\frac{a^m}{a^n} = a^{m-n}

step 3

Simplify the expression by subtracting the exponents

Answer

[Insert final answer here]

Key Concept

Properties of Exponents

Explanation

The properties of exponents allow us to simplify expressions involving powers by adding, subtracting, or multiplying the exponents depending on the operation.