Question

(3 raise to the power of 0 +4) × 5 raise to the -1=​

Answer 1

To find :

Value of (3⁰ + 4) × 5⁻¹

Identity used :

$\sf \bullet \: \: \: {a}^{0} = 1 \\ \\ \sf \bullet \: \: \: {a}^{ - m} \: = \dfrac{1}{ {a}^{m} } \\ \\ \sf \bullet \: {a}^{m} \times {a}^{n} = \: {a}^{(m + n)}$

Solution :

$\sf \implies \: (3^0 \: + 4) \times (5^{-1}) \\ \\ \sf \implies \: (1 + 4) \times (5^{-1}) \\ \\ \sf \implies \: 5 \times (5^{-1}) \\\\ \sf \implies \: 5^{\:\{\:1+(-1)\:\}\:} \\ \\ \sf \implies \:5^0 \\ \\ \sf \implies \: 1$

ANSWER : 1

Additional identity -

$\sf \bullet \: \dfrac{a^m}{a^n} \: = \: a^{(m-n)} \\\\ \sf \bullet \: \: (a^m)^n \:= \: a^{m\times n}$

Answer 2

Answer:

Let the height of the right circular cylinder be h m.

r=0.7m

Curved surface area = 4.4m²

\longrightarrow⟶ 2πrh=4.4

\longrightarrow⟶ 2 × \small\dfrac{22}{7}

7

22

× 0.7 × h = 4.4

\longrightarrow⟶ 4.4h = 4.4

\longrightarrow⟶ h = 1m