Question

answer this question please​

Answer 1

Answer:

I)1

II)72

III)-24

IV)1

Step-by-step explanation:

I) 9m²-10n³

9×3²-10×2³

= 9×9-10×8

=81-80

=1

II) 2m²n²

= 2×3²×2²

= 2× 9× 4

= 18× 4

= 72

III) 2m³+3n²-5m²n

= 2× 3³+3×2²-5×3²×2

= 2×27+3×4-5×9×2

= 54+12-5×18

= 66-90

=-24

IV)m^n-n^m

= 3²- 2³

= 9- 8

= 1

Hope it's helpful!

Answer 2

Answer:

Given :-

• m = 3 and n = 2

To Find :-

What is the value of :

• 9m² - 10n³
• 2m²n²
• 2m³ + 3n² - 5m²n
• mⁿ - nᵐ

Solution :-

Given :

$\mapsto$ m = 3

$\mapsto$ n = 2

${\normalsize{\bold{\purple{\underline{\bigstar\: (i)\: 9m^2 - 10n^3}}}}}$

$\longrightarrow \sf\bold{9m^2 - 10n^3}$

$\implies \sf 9(3)^2 - 10(2)^3$

$\implies \sf 9 \times 3 \times 3 - 10 \times 2 \times 2 \times 2$

$\implies \sf 9 \times 9 - 10 \times 8$

$\implies \sf 81 - 80$

$\implies \sf\boxed{\bold{\red{1}}}$

${\normalsize{\bold{\purple{\underline{\bigstar\: (ii)\: 2m^2n^2}}}}}$

$\longrightarrow \sf\bold{2m^2n^2}$

$\implies \sf 2 \times (3)^2 \times (2)^2$

$\implies \sf 2 \times 3 \times 3 \times 2 \times 2$

$\implies \sf 6 \times 3 \times 4$

$\implies \sf 18 \times 4$

$\implies \sf\boxed{\bold{\red{72}}}$

${\normalsize{\bold{\purple{\underline{\bigstar\: (iii)\: 2m^3 + 3n^2 - 5m^2n}}}}}$

$\longrightarrow \sf\bold{2m^3 + 3n^2 - 5m^2n}$

$\implies \sf 2(3)^3 + 3(2)^2 - 5(3)^2 \times 2$

$\implies \sf 2 \times 3 \times 3 \times 3 + 3 \times 2 \times 2 - 5 \times 3 \times 3 \times 2$

$\implies \sf 54 + 12 - 15 \times 6$

$\implies \sf 66 - 90$

$\implies \sf\boxed{\bold{\red{- 24}}}$

${\normalsize{\bold{\purple{\underline{\bigstar\: (iv)\: m^n - n^m}}}}}$

$\longrightarrow \sf\bold{m^n - n^m}$

$\implies \sf (3)^2 - (2)^3$

$\implies \sf 3 \times 3 - 2 \times 2 \times 2$

$\implies \sf 9 - 8$

$\implies \sf\boxed{\bold{\red{1}}}$