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!
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𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧: Write in exponential form (3 x 7² x 11⁸) / (21 x 11³)
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧:
Rewrite 21 as 3 × 7:
(3 × 7² × 11⁸) / (3 × 7 × 11³)
Now, group like bases:
(3 / 3) × (7² / 7) × (11⁸ / 11³)
Using the rule a^m / a^n = a^(m-n):
3 / 3 = 3^(1-1) = 3⁰ = 1
7² / 7 = 7^(2-1) = 7¹ = 7
11⁸ / 11³ = 11^(8-3) = 11⁵
Multiply the results:
1 × 7 × 11⁵ = 7 × 11⁵
Exponential form: 7 × 11⁵