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 [(6²)³ / 6³] x 6⁵
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧:
Using the rules of exponents:
(a^m)^n = a^(m×n)
a^m / a^n = a^(m-n)
a^m × a^n = a^(m+n)
First, simplify inside the brackets:
(6²)³ = 6^(2×3) = 6⁶
6⁶ / 6³ = 6^(6-3) = 6³
Now, multiply by 6⁵:
6³ × 6⁵ = 6^(3+5) = 6⁸
Exponential form: 6⁸