arooja
Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

please help me this question..​

Please Help Me This Question class=

Sagot :

Answer:

312.5 t⁴

Step-by-step 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:

[tex] \frac{625 {t}^{4} }{2} [/tex] or 312.5t⁴

Step-by-step explanation:

to understand this

you need to know about:

  • law of exponent
  • PEMDAS

given:

  • [tex] \frac{25 \times {t}^{ - 4} }{ {5}^{ - 3} \times 10 \times {t}^{ - 8} } [/tex]

tips and formulas:

  • [tex]x ^{a} \times {x}^{b } = {x}^{a + b} [/tex]
  • [tex] \frac{ {x}^{a} }{ {x}^{ b } } = {x}^{a - b} [/tex]

let's solve:

[tex] step - 1 : define\\ \frac{25 \times {t}^{ - 4} }{ {5}^{ - 3} \times 10 \times {t}^{ - 8} } [/tex]

[tex] step - 2: simplify\\ \frac{ {5}^{2} \times {t}^{ - 4} }{ {5}^{ - 3} \times 2.5\times {t}^{ - 8} } \\ \\ \frac{ {5}^{2} }{ {5}^{ - 3 + 1} } \times \frac{ {t}^{ - 4} }{ {t}^{ - 8} } \times \frac{1}{2} \\ {5}^{2 + 2} \times {t}^{ - 4 - ( - 8)} \times \frac{1}{2 } \\ 625 \times {t}^{4} \times \frac{1}{2} \\ \therefore \frac{625 {t}^{4} }{2} [/tex]

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.