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tangare [24]
3 years ago
10

82. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

of each expression when x = 9, y= 8, and z= 16. In each case, the expression evaluates to a rational number.
b. 11√y2z4
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

11yz² and when evaluating we get 22528

Step-by-step explanation:

We have the expression 11\sqrt{y^{2}z^{4}  }

We know that a square root is a 1/2 exponent, so we're going to multiply the exponents of y and z by 1/2.

11\sqrt{y^{2}z^{4}  }= 11y^{2(1/2)}z^{4(1/2)} }  =11yz^{2}

Therefore the expression is rewritten as 11yz^2

Now we're going to evaluate this expression for y = 8 and z = 16

11yz^{2} =11(8)(16)^2=88(256)=22528

Thus, when evaluated the result is 22528

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