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 (2³)⁴ / 2⁵
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧:
Using the rules of exponents:
(a^m)^n = a^(m×n)
a^m / a^n = a^(m-n)
Numerator: (2³)^4 = 2^(3×4) = 2¹²
Now, divide the numerator by the denominator:
2¹² / 2⁵ = 2^(12-5) = 2⁷
Exponential form: 2⁷