Question

simplify and express as a power of rational numbers [(-3/5)²×(-3/5)⁴]3
itts very urgent​

Answer 1

Step-by-step explanation:

[(-3/5)²×(-3/5)⁴]³

=[(-3)²/(5)²×(-3)⁴/(5)⁴]³ [(a/b)ⁿ=aⁿ/bⁿ)

=[(-3)².(-3)⁴ /(5)².(5)⁴]³

=[(-3)²+⁴/(5)²+⁴]³

=[(-3)^6/(5)^6]³

=[(-3)^6]³/[(5)^6]³

=(-3)^6×3/(5)^6×3 [(a^m)ⁿ=a^mn]

=(-3)^18/(5)^18

=(-3/5)^-18

Answer 2

Step-by-step explanation:

1). (4/3)^2 × (2/3)^3 × 1/4

4/3 × 4/3 × 2/3 × 2/3 × 2/3 × 1/4

32/243

2). [(-3/5)^2 × (-3/5)^4]^3

[(-3/5)^2+4]^3

[(-3/5)^6]^3

[-3/5]^18

3). 3^5 × 10^5 × 25 / 5^7 × 6^5

3^5 × (2 × 5)^5 × 5^2 / 5^7 × (2 × 3)^5

3^5 × 2^5 × 5^5 × 5^2 / 5^7 × 2^5 × 3^5

(3^5-5) ×( 2^5-5) × (5^5+2-7)

3^0 × 2^0 × 5^7-7

1 × 1 × 5^0

1× 1

1

4). 3^8 × a^6 / 9^3 × a^3

3^8 × a^6 / (3×3)^3 × a^3

3^8 × a^6 / 3^3 × 3^3 × a^3

( 3^8-3+3) × (a^6-3)

(3^8-6) × (a^3)

(3^2) × (a^3)

3×3 × a^3

9 × a^3

9a^3

please mark me as brainliest