Boost your exponent skills! In this video, we'll simplify expressions and write them in exponential form. We'll tackle a variety of problems, including fractions, negative exponents, and combined operations. Perfect for algebra students!
top of page
bottom of page
𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧: Write in exponential form (2⁸ x a⁵) / (4³ x a³)
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧:
Using the rules of exponents:
a^m / a^n = a^(m-n)
(a^m)^n = a^(m×n)
Rewrite 4 as 2²:
4³ = (2²)³ = 2^(2×3) = 2⁶
Now, substitute this back into the expression:
(2⁸ × a⁵) / (2⁶ × a³) = (2⁸ / 2⁶) × (a⁵ / a³)
= 2^(8-6) × a^(5-3)
= 2² × a²
Using the rule a^n × b^n = (a × b)^n:
2² × a² = (2 × a)² = (2a)²
Exponential form: (2a)² or 2² × a²