Question

25 raised to the power O is *​

Answer 1

Answer:

1

Step-by-step explanation:

25⁰ = 1

Anything raised to the power 0 is always 1.

Answer 2

To find : value of $25$ when raised to power of $0$

Solution :

• There are $8$ laws of exponent  :

1. Product law : According to this law if bases of two terms are same then their powers are added keeping the base same .   i.e.$a^{m} + a^{n} = a^{m + n}$
2. Quotient law : this law states that while dividing expression if base are same then their powers are subtracted keeping the base same .i.e.$\frac{a^{m} }{a^{n} } = a^{m-n}$ .          
3. Negative exponent law : this law states that to convert negative exponent into positive we need to take reciprocal of term . i.e. $a^{-m} = \frac{1}{a^{m} }$
4. Power of a power : when there are two exponents for single base we multiply both the exponents . i.e. $(a^{m}) ^{n} = a^{mn}$
5. Power of a product : according to this law we distribute exponent to each multiplicand of the product . i.e. $(ab)^{m } = a^{m} b^{m}$
6. Power of a quotient : According to law we distribute exponent to both numerator and denominator . i.e. $(\frac{a}{b} )^{m} = \frac{a^{m} }{b^{m} }$
7. Identity exponent law : Any number raised to power $1$ is number itself i.e. $a^{1} = a$
8. Zero exponent law : this law states that any number raised to $0$ is $1$ . i.e. $a^{0} =1$ .

• Therefore , $25^{0} = 1$

Hence ,  $25$ when raised to power of $0$ is $1$ .