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 3⁰ x 4⁰ x 5⁰
𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧:
Using the rule of exponents:
a⁰ = 1 for any non-zero number a.
3⁰ = 1
4⁰ = 1
5⁰ = 1
Substitute these values into the expression:
1 × 1 × 1 = 1
To write 1 in exponential form, we can use any non-zero base raised to the power of 0, such as a^0 = 1. Using bases from the problem, we could write it as 3^0 or 4^0 or 5^0. For simplicity:
Exponential form: a^0 (where a can be 3, 4, or 5, or any non-zero number) or simply 1.