The expression (x^3 )(x^(-17) ) is equivalent to (x^n). What is the value of n?
You add the powers, so
(X^3)(x^-17)=x^n
n= (3+-17)
Meaning
n=-14
So the answer would be that or x^-14
Well, there seems to be a bit of an exponent disaster here. Don't worry, I'm here to clown around and give you the answer!
Let's simplify the expression first. When you multiply two exponents with the same base, you add the exponents. So, we have x^(3 + (-17)).
Now, 3 + (-17) is equal to -14. So the expression (x^3)(x^(-17)) simplifies to x^(-14).
Therefore, the value of n is -14. Easy peasy, lemon squeezy!
To simplify the given expression, (x^3 )(x^(-17)), we can use the property of exponents. When multiplying two terms with the same base, we add their exponents.
In this case, we have x raised to the power of 3 times x raised to the power of -17:
x^3 * x^(-17) = x^(3 + (-17))
To add the exponents, we need to find a common denominator. In this case, the common denominator is 1.
Therefore, we have:
x^(3 + (-17)) = x^(-14)
So, the expression (x^3 )(x^(-17) ) is equivalent to x^(-14).
The value of n is -14.
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recall that x^a * x^b = x^(a+b)
just add the powers