Evaluate
25x^{6}y^{8}
Differentiate w.r.t. x
150x^{5}y^{8}
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5^{1}x^{3}y^{4}\times 5^{1}x^{3}y^{4}
Use the rules of exponents to simplify the expression.
5^{1}\times 5^{1}x^{3}x^{3}y^{4}y^{4}
Use the Commutative Property of Multiplication.
5^{1+1}x^{3+3}y^{4+4}
To multiply powers of the same base, add their exponents.
5^{2}x^{3+3}y^{4+4}
Add the exponents 1 and 1.
25x^{3+3}y^{4+4}
Raise 5 to the power 2.
25x^{6}y^{4+4}
Add the exponents 3 and 3.
25x^{6}y^{8}
Add the exponents 4 and 4.
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