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The simplified value of 16x^-3 x 8^-1x^3y^-2 is?
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The simplified value of 16x^-3 x 8^-1x^3y^-2 is?
Understanding the Expression
To simplify the expression 16x^-3 x 8^-1x^3y^-2, we first need to break down the components involved.
Step 1: Rewrite the Expression
The original expression can be rewritten for clarity:
16 * x^-3 * (8^-1) * x^3 * y^-2
Step 2: Simplifying the Coefficients
- Calculate the numerical part:
16 * 8^-1 = 16 * (1/8) = 16 / 8 = 2
Step 3: Simplifying the Variables
- Combine the x terms:
x^-3 * x^3 = x^(-3 + 3) = x^0 = 1
- Consider the y term:
The y term remains as y^-2.
Final Expression
Now, putting it all together, we have:
2 * 1 * y^-2 = 2 * y^-2
Step 4: Writing in Positive Exponents
To express y^-2 in a positive exponent, we rewrite it as:
2 / y^2
Conclusion
Thus, the simplified value of the expression 16x^-3 x 8^-1x^3y^-2 is:
2 / y^2
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The simplified value of 16x^-3 x 8^-1x^3y^-2 is?
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