Simplify 35 x^5 y³ ÷ 7 x y²

Correct Answer is : 5x4y5 x^4 y5x4y

Correct Answer is : 5x4y5 x^4 y5x4y

Test Index

BECE Mathematics 2014 Paper

Question : 9

Total: 40

Simplify

35 x^5 y^3 \div 7 x y^2

Solution:

Concept:

Division of algebraic terms uses the quotient rule of exponents:

\frac{a^m}{a^n} = a^{m-n}

Explanation:

Write the division as a fraction:

\frac{35x^5y^3}{7xy^2}

Recall that

x = x^1

and

y = y^1

. So the expression becomes

\frac{35x^5y^3}{7x^1y^2}

Divide the coefficients:

\frac{35}{7} = 5

Apply the exponent rule to

x

x^{5-1} = x^4

Apply the exponent rule to

y

y^{3-2} = y^1 = y

Combine the results:

5x^4y

Answer:

35x^5y^3 \div 7xy^2 = 5x^4y

The correct option is A.

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