Create an image that represents an abstract mathematical concept. Display a large, embossed cube, representing the 'x^3' in the problem statement, contrasted with a series of smaller faint cubes, symbolizing the 'x^-17'. Both groups of cubes are drawn on a grid, conveying the concept of multiplicative relationship. Colors used are calming shades of blue and green, implying a sense of pleasure and intrigue, ensuring the image is appealing. There should be no text present within the image.

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

what is the answer