Explain why any non-zero number raised to the power of zero equals one.

Any non-zero number raised to the power of zero equals one because it maintains consistency in exponent rules. For example, x^a / x^a = x^(a-a) = x^0. But x^a / x^a also equals 1, thus x^0 must equal 1.

Rewrite the equation 4^(2x + 1) = 8^(x - 2) so that both sides have the same base.

(2^2)^(2x + 1) = (2^3)^(x - 2) or 2^(4x + 2) = 2^(3x - 6)

Solving Exponential Equations

Grade 8th Grade · Math · 45 min· British Curriculum

What's Included

Learning Objective

The students will be able to solve complex exponential equations by applying the properties of exponents and logarithms.

Warm-Up Video

Khan Academy · 4:56

Solving exponential equations using exponent properties | High School Math | Khan Academy

Guided Notes

3 key concepts

1
Any number (except 0) to the power of zero is equal to one.
2
When solving exponential equations, try to express both sides with the same base to equate the exponents.
3
When raising a power to a power, you multiply the exponents: (aᵇ)ᶜ = ab×c.

Practice Questions

10 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

“Solve for x: 5^(2x + 3) = 5^(x - 1)”

Complete Lesson Package

Get all 3 ready-to-use resources:

Teacher GuideComplete lesson plan

Student DocPrintable student handouts

SlidesReady-to-use presentation

Solving Exponential Equations

What's Included

Learning Objective

Warm-Up Video

Guided Notes

Practice Questions

Exit Ticket

Complete Lesson Package

Related Lessons

Measuring Inches and Half Inches

Finding the Inverse of a Matrix

(a+b)(a-b)=a²-b² 公式

New to Insta~Lesson?

About Insta~Lesson

How Insta~Lesson Helps Teachers Plan

How Insta~Lesson Supports Instruction Schoolwide