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Answer both pls !!!!!​

Answer both pls !!!!!​-example-1
User Dalyons
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\huge \boxed{\mathbb{QUESTION} \downarrow}

  • 2a²b³ × -3a²b × -5ab²
  • 3x²y³z × 8xy⁵z³


\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

1st Question :-


\sf \: 2 { a }^( 2 ) { b }^( 3 ) * -3 { a }^( 2 ) b * -5ab ^ { 2 }

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.


\sf \: 2a^(4)b^(3)\left(-3\right)b\left(-5\right)ab^(2)

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.


\sf \: 2a^(5)b^(3)\left(-3\right)b\left(-5\right)b^(2)

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.


\sf \: 2a^(5)b^(4)\left(-3\right)\left(-5\right)b^(2)

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.


\sf \: 2a^(5)b^(6)\left(-3\right)\left(-5\right)

Multiply 2 and -3 to get -6.


\sf-6a^(5)b^(6)\left(-5\right)

Multiply -6 and -5 to get 30.


\boxed{ \boxed{ \bf \: 30a^(5)b^(6) }}

_____________

2nd Question :-


\sf3 { x }^( 2 ) { y }^( 3 ) z * 8x { y }^( 5 ) z ^ { 3 }

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.


\sf \: 3x^(3)y^(3)z* 8y^(5)z^(3)

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.


\sf \: 3x^(3)y^(8)z* 8z^(3)

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.


\sf \: 3x^(3)y^(8)z^(4)* 8

Multiply 3 and 8 to get 24.


\boxed{ \boxed{ \bf \: 24x^(3)y^(8)z^(4) }}

User Tlum
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