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How do you simplify 7x3y2⋅5xy9 and write it using only positive exponents?

Sagot :

The expression simplified using positive exponents is 35x^4y^11.

The expression is 7x^3y^2 * 5 xy^9

In order to express it as a positive exponent, the power should be positive and not negative number and indicates how many times to multiply a base number.

Rewrite the expression to group like terms together:

(7*5) (x^3*x) (y^2*y^9)

The product rule of exponents states that when multiplying exponential expressions that have the same base, add the exponents. i.e. a^ma^n = a^(m+n)

Hence, to simplify the expression, add the exponents of x terms and y terms and multiply the constant number together.

(7*5) (x^3*x) (y^2*y^9)

35x^(3+1)y^(2+9)

35x^4y^11

Learn more about Product rule of exponents:

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