Question

Please
answer this question​

Answer 1

Step-by-step explanation:

10:-

5^2×5^2×t^4/5^3×2^3×t^8

5×t^4/2^3

11:-

a)5^6 is greater

b)1

-1

Answer 2

Answer:

10) 5t⁴ / 8

 11)

(a) (5²)³ is greater than 5² × 3

 (b) $(-1)^{even}$ = 1 ,$(-1)^{odd}$ = -1

Step-by-step explanation:

10) 25 × 5² × t⁸ / 10³ × t⁴

= 5² × 5² × t⁸ / 10³ × t⁴

= $5^{2+2}$ × t⁸ / 10³ × t⁴

= 5⁴ × t⁸ / 10³ × t⁴

= 5³ × 5 × t⁸ / ( 5 × 2 )³ × t⁴

= 5³ × 5 × t⁸ / 5³ × 2³ × t⁴

= 5 × t⁸ / 2³ × t⁴

= 5 / 8 × $t^{8-4}$

= 5t⁴ / 8      

11)

(a) 5² × 3

= 25 × 3

= 75

(5²)³

= $5^{2(3)}$

= 5⁶

= 15,625

∴(5²)³ is greater than 5² × 3.

(b)

$(-1)^{even}$ = 1

$(-1)^{odd}$ = -1