Question

Evaluate it.
exponent chapter.​

Answer 1

Evaluate it.

• $\sf \: 1^{ - 3} - \left( \dfrac{1}{2} \right)^{ - 2} + \left( \dfrac{1}{3} \right)^{ - 1} - \left( \dfrac{1}{4} \right)^{ 0}$

Step by step explanation

$\\{\implies \sf \: 1^{ - 3} - \left( \dfrac{1}{2} \right)^{ - 2} + \left( \dfrac{1}{3} \right)^{ - 1} - \left( \dfrac{1}{4} \right)^{ 0} }$

${\implies \sf \: 1 - \left( 2 \right)^{ 2} + 3 - 1 }$

${\implies \sf \:- 4 + 3 }$

$\implies \underline{\red{\boxed{\tt \: - 1 }}}$

Laws of exponents

• $\sf {a}^{m} \times {a}^{n} = {a}^{m + n} \: \: \: \: \: \: \: \: \: \: \sf {a}^{m} \div {a}^{n} = {a}^{m - n} \\ \sf{( {a}^{m} ) ^{n} = {a}^{mn} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a {}^{m} \times {n}^{m} = (ab) ^{m} } \\ \sf{a}^{0} = 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\frac{ {a}^{m} }{ {b}^{m} }= \left( \frac{a}{b} \right) ^{m} }~~~~~~$

Answer 2

Step-by-step explanation:

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