Question

Bantu yah, besok udah mau kumpul , please ya kak

Answer 1

1. 4^3 × 5^6 = 2^6 × 5^6 = (2 × 5)^6

2. a. 4^(6+3) = 4^9
b. (-7)^(3+2) = (-7)^5
c. 4(-2,5)^(4+3) = 4(-2,5)^7
d. 5^(2×3) = 5^6
e. 5^2 × 2^3 × 2^5/5^3 × 5^5 = 2^(3+5) × 5^(2-3-5) = 2^8 × 5^-6

3. a. 2 × 9 × y^(3+7+2) = 18y^12
b. 2 × b^(3+1) × y^(7+2) = 2b^4y^9
c. 3 × m^(4+3) × n^4 = 3m^7n^4
d. 4 × t^(4+3) × n^(3×4) = 4t^7n^12
e. 2 × 3 × 5 × x^(3+6) × y^(6+4) = 30x^9y^10

4. a. 3^(3+7) × 2 = 3^10 × 2 = 59.049 × 2 = 118.098
b. (4 + 1) + 50 = 5 + 50 = 55
c. 1/2^3 × (-1/2^12) = 1/2^3 × 1/2^12 = 1/2^15 = 1/32.768
d. 2^4 × 2^2 × 2^3 = 2^(4+2+3) = 2^9 = 512

5. a. 4^3 × 2^6 = 2^6 × 2^6 = 2^12
b. 3^10 × 3^5 = 3^15
c. 2^2 × 3^4 + 5 × 3^4 = 3^4(4+5) = 3^4 × 3^2 = 3^6

6. a. 2^6
b. 2^2 × 5
c. 2^2 × 5^2
d. 2^7 × 3^-1

7. a. 3x^2 = 81
3x^2 = 3^4
x^2 = 4
x = 2
b. 1/64 × 4^x × 2^x = 64
2^-6 × 2^2x × 2^x = 2^6
2^(-6+2x+x) = 2^6
2^(-6+3x) = 2^6
-6 + 3x = 6
3x = 6 + 6
3x = 12
x = 4