Question

3 raised to negative 3

Answer 1

Step-by-step explanation:

Your question:

${3}^{ - 3}$

Note: You must know all the product of indices to solve this type of questions.

$\huge\mathfrak \colorbox{lightblue}{your answer : }$

$= {3}^{ - 3}$

Use this formula:

${a}^{ - m } = \frac{1}{ {a}^{m} }$

$= \frac{1}{ {3}^{3} }$

[ now calculate the cube of 3 ]

$= \frac{1}{27}$

More formulaes regarding exponents and powers:

${a}^{m} \times {a}^{n} = {a}^{m + n}$

${a}^{m} \div {a}^{n} = {a}^{m - n}$

${a}^{m} \times {b}^{m} = (a \times b) ^{m}$

${a}^{m} \times {b}^{m} = (\frac{a}{b} ) ^{m}$

${a}^{ - m} = \frac{1}{ {a}^{m} }$

${a}^{0} = 1$

${a}^{1} = a$