Powers and Roots: Solving Exponential Equations

Powers and Roots: Solving Exponential Equations

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

10th - 12th Grade

Hard

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The video tutorial explains how to solve a mathematical problem using the laws of indices. In Part A, the problem involves converting 8 into a power of 2 and applying the index law of subtraction to find the value of n. In Part B, the problem requires expanding brackets and using the index law of addition to find the value of k. The tutorial emphasizes the importance of understanding base conversion and the application of index laws to solve such problems effectively.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify the expression 13 to the power of negative 6 raised to the power of 4?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of applying the index law when multiplying two powers together.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final value of k in the equation 13 to the power of k equals 13 to the power of negative 19?

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