Question

BIG POINTS! Please help me with this math problem. By the way, the answer is not 1 / 128 .

Answer 1

Explanation:

`\longrightarrow\sf \frac {2^7-2^10}{4^5-8^2}`

• Substitute the values

`\longrightarrow\sf \frac {128-1024}{1024-64}`

`\longrightarrow\sf \frac {-896}{960}`

`\longrightarrow\sf \frac {-14}{15}`

More to know:-

Laws of exponents:-

`\begin{gathered}\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf(a^m)/(a^n) = a^(m - n)\\\\\bigstar\:\:\sf{(a^m)^n = a^(mn)}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^(m + n)\\\\\bigstar\:\:\sf(1)/(a^n) = a^(-n)\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{(1)/(n)}\end{minipage}}\end{gathered}`

Answer 2

Answer and Step-by-step explanation:

2 * 2 * 2 * 2 * 2 * 2 * 2 = 128

2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 1024

4 * 4 * 4 * 4 * 4 = 1024

8 * 8 = 64

`(128 - 1024)/(1024 - 64)`

`(-896)/(960)`

896 and 960 both have 64 in common.

896 divided by 64 equals 14.

960 divided by 64 equals 15.

`-(14)/(15)` is the answer.

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