Question

The value of (1²)³ is equal to​

Answer 1

Answer:

1

Step-by-step explanation:

1 given any power is equal to one itself as 1×1×1×1....=1

hope it helps

Answer 2

Answer:

Value of  $(1^{2})^{3}$  is  $1^{6}$  i.e. $1$ .

Step-by-step explanation:

To find : value of  $(1^{2})^{3}$

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. $a^{m}\times a^{n}=a^{m+n}$
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.$\left(a^{m}\right)^{n}=a^{m n}$
5. Power of a product : according to this law we distribute exponent to each multiplicand of the product . i.e. $(a b)^{m}=a^{m} b^{m}$
6. Power of a quotient : According to law we distribute exponent to both numerator and denominator . i.e. $\left(\frac{a}{b}\right)^{m}=\frac{a^{m}}{b^{m}}$
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, according to $4^{th}$ law of exponent , we solve $(1^{2})^{3}$  

       $(1^{2})^{3} = 1^{6} = 1$