Question

1.) Which of the following is not equal to 6¹⁰?

a. 2¹⁰ + 3¹⁰

b. (6²)⁵

d. (2 x 3)¹⁰

c. 2¹⁰ x 3¹⁰

2.) What is 25 ½ ÷ ½ ?

a. 25

b. 51

c. 12 ¾

d. 25 ¼

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Answer 1

1) a
2) b

Explanation:

1) Lets check all the options

a) Cannot be simplified

b)
`(6^2)^5=6^(10)` because
`(a^m)^n=a^(mn)`

c)
`(2*3)^(10)=6^(10)` fairly self-explanatory because
`2*3=6`

d)
`2^(10)*3^(10)=6^(10)` because
`a^m* b^m=ab^m`

Hence a is the answer.

2)
`25\frac12/\frac12=\frac{51}2*\frac21=51`

Hence b is the answer