Question

Simplify the expression below: 9x6y².5x²y³​

Answer 1

Answer:

You can generalize the following rule:

• $a^m×a^n=a^{m+n}$

$\mathfrak \blue{Solution,}$

$9x \times {6y}^{2} \times {5x}^{2} \times {y}^{3}$

$(9 \times 6 \times 5) {x}^{1 + 2} {y}^{2 + 3}$

$270 {x}^{3} {y}^{5}$

Answer 2

$\dag \bf{ \purple{Given \: Expression}}$

$\sf \dashrightarrow9x \times 6 {y}^{2} \times 5 {x}^{2} \times {y}^{3}$

$\dag \bf{ \pink{Property\:of\:indices\:used\:here}}$

$\boxed{ \sf \: {a}^{m} \times {a}^{n} = {a}^{m + n} }$

$\dag \bf{ \blue{Solution}}$

Calculate the product of numbers i.e. 9×6×5

$\sf \dashrightarrow270xy^{2} {x}^{2} {y}^{3}$

If a term doesn't have an exponent, its implied exponent is 1

$\sf \dashrightarrow270 {x}^{1} {y}^{2} {x}^{2} {y}^{3}$

Multiply the terms with the same base by adding their exponents

$\sf \dashrightarrow270 {x}^{1 + 2} {y}^{2 + 3}$

Add the numbers in exponent

$\boxed{ \sf \dashrightarrow270 {x}^{3} {y}^{5} }$