Question

Need help with this question ​

Answer 1

Answer:

$- 2 {x}^{5} {y}^{7}$

Last option is correct.

Step-by-step explanation:

$- 2 {x}^{3} {y}^{4} {x}^{2} {y}^{3}$

Multiply the terms with the same base by adding their exponents

$- 2 {x}^{3 + 2} {y}^{4 + 3}$

Add the numbers

$- 2 {x}^{5} {y}^{7}$

Hope this helps..

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Answer 2

$- 2 {x}^{5} {y}^{7}$

Solution:

$- 2 {x}^{3} {y}^{4} {x}^{2} {y}^{3}$

$= 2 {x}^{(3 + 2)} {y}^{(4 + 3)}$

$= - 2 {x}^{5} {y}^{7}$

${\boxed{\blue{\textsf{Some Important Laws of Indices}}}}$

${a}^{n}.{a}^{m}={a}^{(n + m)}$

${a}^{-1}=\dfrac{1}{a}$

$\dfrac{{a}^{n}}{ {a}^{m}}={a}^{(n-m)}$

${({a}^{c})}^{b}={a}^{b\times c}={a}^{bc}$

${a}^{\frac{1}{x}}=\sqrt[x]{a}$

$a^0 = 1$

$[\text{Where all variables are real and greater than 0}]$