Question

value of (3 raise to power zero + 4 raise to power zero) x 5 raise to power 0​

Answer 1

$\textsf{\large{\underline{Solution}:}}$

We have to evaluate the given expression:

$\rm = ( {3}^{0} + {4}^{0}) \times {5}^{0}$

We know that: Anything (except 0) raised to the power 0 is always 1.

Therefore, we get:

$\rm = (1 + 1) \times1$

$\rm = 2\times1$

$\rm = 2$

Hence:

$\rm\longrightarrow ( {3}^{0} + {4}^{0}) \times {5}^{0}=2$

★ Which is our required answer.

$\textsf{\large{\underline{Learn More}:}}$

$\rm 1. \: \: {a}^{m} \times {a}^{n} = {a}^{m + n}$

$\rm 2. \: \: ({a}^{m})^{n} = {a}^{mn}$

$\rm 3. \: \: \dfrac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

$\rm4. \: \: {a}^{m} \times {b}^{m} = {(ab)}^{m}$

$\rm5. \: \: \bigg(\dfrac{a}{b} \bigg)^{m} = \dfrac{ {a}^{m} }{ {b}^{m} }$

$\rm6. \: \: {a}^{ - n} = \dfrac{1}{ {a}^{n} }$

$\rm7. \: \: {a}^{n} = {b}^{n} \rightarrow a = b, n \neq0$

$\rm8. \: \: {a}^{m} = {a}^{n} \rightarrow m = n, a \neq 1$