How do you count 5x^4=700

Also how do you Count 25 multi x^10=1000

I don't know what you mean by "how do you count"?
If you are trying to solve for x:
5x⁴ = 700
x⁴ = 140
x = ∜140 ≅ 3.44
:::::
x¹⁰ = 1000
x = 1000^0.1 ≅ 2

By "count," I assume you mean, "How do I reach 700 by counting with 5x^4?"
5x^4 = 700
5*x*x*x*x = 700 [bring the 5 over]
x*x*x*x = 700/5
x*x*x*x = 140
Without a calculator, you could only approximate.
You know 12x12 = 144, so √12*√12*√12*√12 would be close, but close only counts in horseshoes, hand grenades and sex. You need to use a calculator.
x*x = √140
x = √(√140) [to find x, punch in 140 and then √ twice on your calculator]
x = 3.43979 (approx.) or ⁴√140

How do I reach 1000 with 25x^10?
25x^10 = 1000 [bring the 25 over]
x^10 = 1000/25
x^10 = 40 [for a big number like 10, don't mess around. Do this.]
x = ₁₀√40 [you're taking the 10th root of both sides]

In case you're interested, ₁₀√40 or 40^(1/10) = 1.446 (approx.)

Solve for x over the real numbers:
5 x^4 = 700
Divide both sides by a constant to simplify the equation.
Divide both sides by 5:
x^4 = 140
Reduce the exponent on the left hand side by a factor of two.
Take the square root of both sides:
x^2 = 2 sqrt(35) or x^2 = -2 sqrt(35)
Look at the first equation: Eliminate the exponent on the left hand side.
Take the square root of both sides:
x = sqrt(2) 35^(1/4) or x = -(sqrt(2) 35^(1/4)) or x^2 = -2 sqrt(35)
Look at the third equation: Show the equation has no solution.
x^2 = -2 sqrt(35) has no solution since for all x on the real line, x^2 >=0 and -2 sqrt(35)ɘ:
Answer: |
| x = sqrt(2) 35^(1/4) or x = -sqrt(2) 35^(1/4)

How do you count 5x^4=700
5x^4=700 or
x^4 = 700/5 = 140 so,
x = (x^4)^1/4 = (140)^1/4 = 3.44

Also how do you Count 25 multi x^10=1000
25 multi x^10=1000 = 25x^10 = 1000 or
x^10 = 1000/25 = 40
x = (x^10)^1/10 = (40)^1/10= 1.45