How to evaluate a number to a negative rational power

How to evaluate a number to a negative rational power

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to evaluate expressions using rational exponents. It begins by addressing negative exponents and how to rewrite them as positive exponents. The tutorial then focuses on evaluating 64 to the 2/3 power, discussing the use of roots and powers. It emphasizes simplifying expressions by rewriting 64 as a power of 4, using exponent rules to make calculations easier. The tutorial concludes with the final calculation, demonstrating the process of evaluating the expression to arrive at the result of 1/16.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in handling a negative exponent in an expression?

Multiply the base by itself

Rewrite the expression with a positive exponent

Divide the base by the exponent

Add the exponent to the base

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When evaluating 64 to the 2/3 power, why is it not ideal to rewrite it as 8 squared?

It changes the base to a fraction

It results in a more complex expression

It simplifies the calculation

It makes the expression negative

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the advantage of rewriting 64 as a base raised to the third power?

It results in a larger number

It changes the base to a negative number

It simplifies the calculation by matching the denominator

It makes the expression a fraction

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you simplify an expression with a power raised to another power?

Add the exponents

Subtract the exponents

Multiply the exponents

Divide the exponents

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result of evaluating 64 to the 2/3 power?

1/16

1/64

1/32

1/8