Simplify: (8 x² y³) ≤ft(3/8 x y^4)

Correct Answer is : 3x3y73 x³ y^73x3y7

Correct Answer is : 3x3y73 x³ y^73x3y7

Test Index

BECE Mathematics 2010 Paper

Question : 16

Total: 40

Simplify:

(8 x^2 y^3) \left(\frac{3}{8} x y^4\right)

Solution:

Concept:

Multiply the coefficients and add the exponents of like variables using the law of indices.

Explanation:

Rewrite the expression without brackets:

(8 x^2 y^3) \times \left(\frac{3}{8} x y^4\right) = 8 \times \frac{3}{8} \times x^2 \times x \times y^3 \times y^4

Cancel the common factor

8

8 \times \frac{3}{8} = 3

Apply the rule

a^m \times a^n = a^{m+n}

to the

x

-terms and

y

-terms separately:

x^2 \times x = x^{2+1} = x^3

y^3 \times y^4 = y^{3+4} = y^7

Combine the results:

(8 x^2 y^3) \left(\frac{3}{8} x y^4\right) = 3 x^3 y^7

Answer:

3 x^3 y^7

Hence, the correct option is A.

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