Question

Exponents and power lesson pls help me with this question​

Answer 1

Answer:

I have written everything about the Exponents and powers, Hope it will help you

Step-by-step explanation:

When ever there is a power/exponent, it means that the number is multiplied by itself the number of times of exponent. for eg. -

$3 {}^{2} = 3 \times 3 \\ 5 {}^{4} = 5 \times 5 \times 5 \times 5$

now if the exponent have -ve sign then the number is inversed, or its reciprocal is done. For eg. -

$2 {}^{ - 3} = \frac{1}{2 {}^{3} } = \frac{1}{8} \\ \frac{2}{6 {}^{ - 2} } = 2 \times 6 {}^{2} = 2 \times 36 = 72$

Now if the exponent have fraction, then the number in denominator is taken as Root around the number. For eg. -

$7 {}^{ \frac{1}{2} } = \sqrt{7} \\ 4 {}^{ \frac{1}{3} } = \sqrt[3]{4}$

If the fraction has numerator as well than it acts as normal exponent. For eg. -

$3 {}^{ \frac{2}{4} } = (\sqrt[4]{3} ) {}^{2}$

If same number multiplying have different exponents then the exponents get added. like -

3^2 × 3^5 = 3^2+5 = 3^7

Now with the help of these rules you can simply solve these questions.

Note : anything raise to '0' = 1

${x}^{0} = 1$

(where x is any number)