How does x(squareroot)x equal x^(3/2)?
I don't understand where the 3 is coming from.
x = x^1
Square root of x = x^(1/2)
To multiply the two, you add exponents.
1 + 1/2 = 3/2
I hope this helps.
Oh right! Thank you so much!
To understand how x√x equals x^(3/2), let's break it down step by step.
1. Start with x√x. This expression represents the square root of x multiplied by x.
2. Rewrite the square root (√) as a fractional exponent with a numerator of 1 and a denominator of 2. So, x√x can be written as x^(1/2) * x.
3. Apply the exponent rule: When you multiply two terms with the same base, you add their exponents. In this case, x^(1/2) * x can be simplified to x^(1/2 + 1).
4. Add the exponents: 1/2 + 1 = 3/2.
5. Therefore, x√x can be expressed as x^(3/2).
To summarize, the exponent of 3/2 in x^(3/2) is obtained by using the fractional exponent representation of the square root (√), which is 1/2, and then applying the exponent rule of adding exponents when multiplying terms with the same base.