Question

Please help me this question..​

Answer 1

312.5 t⁴

Explanation:

25*t⁻⁴ = (5²) / t⁴ (1)

5⁻³*10*t⁻⁸ = 5⁻³*2*5¹ / t⁸ (2)

(1)/(2): ((5²) / t⁴) / ((5⁻²*2) / t⁸) = 5⁴ * t⁴ / 2 = 625 t⁴ / 2 = 312.5 t⁴

Answer 2

`\frac{625 {t}^(4) }{2}` or 312.5t⁴

Explanation:

to understand this

you need to know about:

• law of exponent
• PEMDAS

given:

• 
  `\frac{25 * {t}^( - 4) }{ {5}^( - 3) * 10 * {t}^( - 8) }`

tips and formulas:

• 
  `x ^(a) * {x}^(b ) = {x}^(a + b)`
• 
  `\frac{ {x}^(a) }{ {x}^( b ) } = {x}^(a - b)`

let's solve:

`step - 2: simplify\\ \frac{ {5}^(2) * {t}^( - 4) }{ {5}^( - 3) * 2.5* {t}^( - 8) } \\ \\ \frac{ {5}^(2) }{ {5}^( - 3 + 1) } * \frac{ {t}^( - 4) }{ {t}^( - 8) } * (1)/(2) \\ {5}^(2 + 2) * {t}^( - 4 - ( - 8)) * (1)/(2 ) \\ 625 * {t}^(4) * (1)/(2) \\ \therefore \frac{625 {t}^(4) }{2}`