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Simplify the given expression, using only positive exponents. Then complete the statements that follow.

(2x2y3)-17, x70, 760, 260(x-2yZz)?
A.The exponent on x is
B.The exponent on y is
C.The exponent on z is

User Pmcote
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1 Answer

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Final answer:

The expression is simplified by converting negative exponents into positive ones and applying the rule that any number to the power of 0 is 1. The resultant exponents for x, y, and z are positive, and for x, the exponent is 2 after reciprocating the base. For y, the exponent remains 3, and for z, it will be whatever Z represents.

Step-by-step explanation:

To simplify the given expression with positive exponents, let's break down the expression and deal with each part separately:

(2x2y3)-1 becomes 1/(2x2y3) and the exponents become positive

x70 becomes x0 as any number raised to the power of 0 is 1

760 becomes 1 for the same reason as above

For 260(x-2yZz), since anything raised to the power of 0 is 1, we ignore 260 and only consider (x-2yZz). The exponent of x here would be -2, but we need to make every exponent positive. We do this by reciprocating the base to get x2 in the denominator.

Combining everything, we have:

The exponent on x is 2.

The exponent on y is 3.

The exponent on z is not explicitly given in the question, but if Z represents the exponent, then that would be the exponent on z.

User Sergey  Bulavkin
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