Question

Without using a calculator, write down the values of k and m.
$64 \: = \: 8 {}^{2} = \: 4 {}^{k} = \: 2 {}^{m}$
​

Answer 1

Step-by-step explanation:

64 = 8 ² = 4^k = 2^m

4³ = 8² = 4^k = 2^m

Therefore value of k = 3

2⁶ = 8² = 4³ = 2^m

Therefore value of m is 6

Mark as brainliest pls!!

Answer 2

1. 64= 8²=4{}^{k}=2{}^{m}
2. 8²=4{}^{k}
3. 2⁶=2{}^{2k}
4. ( because both base are same)
5. so,2k=6
6. k=3
7. 4{}^{k}=2{}^{m}
8. 2{}^{2k}=2{}^{m}
9. 2k=m (k=3)
10. m=6