[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
- 2a²b³ × -3a²b × -5ab²
- 3x²y³z × 8xy⁵z³
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
1st Question :-
[tex] \sf \: 2 { a }^{ 2 } { b }^{ 3 } \times -3 { a }^{ 2 } b \times -5ab ^ { 2 }[/tex]
To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.
[tex] \sf \: 2a^{4}b^{3}\left(-3\right)b\left(-5\right)ab^{2} [/tex]
To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.
[tex] \sf \: 2a^{5}b^{3}\left(-3\right)b\left(-5\right)b^{2} [/tex]
To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.
[tex] \sf \: 2a^{5}b^{4}\left(-3\right)\left(-5\right)b^{2} [/tex]
To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.
[tex] \sf \: 2a^{5}b^{6}\left(-3\right)\left(-5\right) [/tex]
Multiply 2 and -3 to get -6.
[tex] \sf-6a^{5}b^{6}\left(-5\right) [/tex]
Multiply -6 and -5 to get 30.
[tex] \boxed{ \boxed{ \bf \: 30a^{5}b^{6} }}[/tex]
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2nd Question :-
[tex] \sf3 { x }^{ 2 } { y }^{ 3 } z \times 8x { y }^{ 5 } z ^ { 3 }[/tex]
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
[tex] \sf \: 3x^{3}y^{3}z\times 8y^{5}z^{3} [/tex]
To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.
[tex] \sf \: 3x^{3}y^{8}z\times 8z^{3} [/tex]
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.
[tex] \sf \: 3x^{3}y^{8}z^{4}\times 8 [/tex]
Multiply 3 and 8 to get 24.
[tex] \boxed{ \boxed{ \bf \: 24x^{3}y^{8}z^{4} }}[/tex]
