Question

If x= 2 and y = 1 , find the value of (-4x²y³ ) × -5x²y5​

Answer 1

Answer:

Question :

If x = 2 and y = 1 ,

Find the value of (-4x²y³ ) × -5x²y5

Solution :

$\longrightarrow\sf{( - 4 {x}^{2} {y}^{3} ) \times - 5{x}^{2} {y}^{2}}$

Putting x = 2, y = 1

${\longrightarrow{\sf{( - 4 {(2)}^{2} {(1)}^{3}) \times ( - 5{(2)}^{2} {(1)}^{2} )}}}$

${\longrightarrow{\sf{( - 4 {(2 \times 2)} {(1 \times 1 \times 1)}) \times (- 5{(2 \times 2)} {(1 \times 1))}}}}$

${\longrightarrow{\sf{( - 4 {(4)} {(1)}) \times (- 5{(4)} {(1))}}}}$

${\longrightarrow{\sf{( - 4 \times 4 \times 1)\times( - 5 \times 4 \times 1)}}}$

${\longrightarrow{\sf{( - 16)\times( - 20)}}}$

${\longrightarrow{\sf{ - 16 \times - 20}}}$

${\longrightarrow{\sf{ \cancel{ - }16 \times \cancel{-} 20}}}$

${\longrightarrow{\sf{16 \times 20}}}$

${\longrightarrow{\sf{320}}}$

${\longrightarrow{\underline{\boxed{\sf{\red{320}}}}}}$

∴ The answer is 320.

Learn More :

☼ BODMAS :

↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.

It stands for :-

• ↠ B - Brackets,
• ↠ O - Order of powers or roots,
• ↠ D - Division,
• ↠ M - Multiplication 
• ↠ A - Addition
• ↠ S - Subtraction.

↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.

☼ BODMAS RULE :

↝ First, we solve brackets, then powers or roots, then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.

• ↠ Addition (+)
• ↠ Subtraction (-)
• ↠ Multiplication (×)
• ↠ Division (÷)
• ↠ Brackets ( )

☼ EXPONENT :

↝ The exponent of a number says how many times to use the number in a multiplication.

☼ LAW OF EXPONENT :

The important laws of exponents are given below:

• ↠ ${\rm{{a}^{m} \times {a}^{n} = {a}^{m + n}}}$
• ↠ ${\rm{{a}^{m}/{a}^{n} = {a}^{m - n}}}$
• ↠ ${\rm{({a}^{m})^{n} = {a}^{mn}}}$
• ↠ ${\rm{{a}^{n}/{b}^{n} = ({a/b})^{n} }}$
• ↠ ${\rm{{a}^{0} = 1}}$
• ↠ ${\rm{{a}^{ - m} = {1/a}^{m}}}$
• ↠ ${\rm{{a}^{\frac{1}{n} } = \sqrt[n]{a}}}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer 2

❍Given:-

• X=2 & Y=1

❍To Find:-

• Value of (-4x²y³ ) × (-5x²y5)

❍Solution:-

➬(-4x²y³)×(-5x²y5)

➬(-4×4)×(-5×4×5)

➬(-16)×(-100)

➬1600

∴Hence 1600 is the Correct Answer!

❒Extended Shot:-

• (-)×(-)=(+)
• (-)×(+)=(-)
• (+)×(+)=(+)
• (+)×(-)=(-)

❒Bodmas:-

B=Bracket

O=Off(Multiplication)

D=Division

M=Multiplication

A=Addition

S=Substraction