Sure, let's work through each of these calculations step by step.
### Calculation 1: [tex]\( 3.9 \times 10^4 \)[/tex]
1. The base number here is [tex]\( 3.9 \)[/tex].
2. The exponent [tex]\( 4 \)[/tex] indicates that we need to multiply [tex]\( 3.9 \)[/tex] by [tex]\( 10 \)[/tex] raised to the power of 4, which is [tex]\( 10,000 \)[/tex] (since [tex]\( 10^4 = 10,000 \)[/tex]).
3. Multiplying [tex]\( 3.9 \)[/tex] by [tex]\( 10,000 \)[/tex] gives us [tex]\( 39,000 \)[/tex].
So, [tex]\( 3.9 \times 10^4 = 39,000 \)[/tex].
### Calculation 2: [tex]\( 8.43 \times 10^{-2} \)[/tex]
1. The base number here is [tex]\( 8.43 \)[/tex].
2. The exponent [tex]\( -2 \)[/tex] indicates that we need to multiply [tex]\( 8.43 \)[/tex] by [tex]\( 1 \)[/tex] divided by [tex]\( 10 \)[/tex] raised to the power of 2, which is [tex]\( 0.01 \)[/tex] (since [tex]\( 10^{-2} = \frac{1}{100} \)[/tex]).
3. Multiplying [tex]\( 8.43 \)[/tex] by [tex]\( 0.01 \)[/tex] gives us [tex]\( 0.0843 \)[/tex].
So, [tex]\( 8.43 \times 10^{-2} = 0.0843 \)[/tex].
### Calculation 3: [tex]\( 2 \times 10^{-5} \)[/tex]
1. The base number here is [tex]\( 2 \)[/tex].
2. The exponent [tex]\( -5 \)[/tex] indicates that we need to multiply [tex]\( 2 \)[/tex] by [tex]\( 1 \)[/tex] divided by [tex]\( 10 \)[/tex] raised to the power of 5, which is [tex]\( 0.00001 \)[/tex] (since [tex]\( 10^{-5} = \frac{1}{100,000} \)[/tex]).
3. Multiplying [tex]\( 2 \)[/tex] by [tex]\( 0.00001 \)[/tex] gives us [tex]\( 0.00002 \)[/tex] or [tex]\( 2 \times 10^{-5} \)[/tex].
So, [tex]\( 2 \times 10^{-5} = 0.00002 \)[/tex].
### Calculation 4: [tex]\( 7 \times 10^6 \)[/tex]
1. The base number here is [tex]\( 7 \)[/tex].
2. The exponent [tex]\( 6 \)[/tex] indicates that we need to multiply [tex]\( 7 \)[/tex] by [tex]\( 10 \)[/tex] raised to the power of 6, which is [tex]\( 1,000,000 \)[/tex] (since [tex]\( 10^6 = 1,000,000 \)[/tex]).
3. Multiplying [tex]\( 7 \)[/tex] by [tex]\( 1,000,000 \)[/tex] gives us [tex]\( 7,000,000 \)[/tex].
So, [tex]\( 7 \times 10^6 = 7,000,000 \)[/tex].
In summary:
- [tex]\( 3.9 \times 10^4 = 39,000 \)[/tex]
- [tex]\( 8.43 \times 10^{-2} = 0.0843 \)[/tex]
- [tex]\( 2 \times 10^{-5} = 0.00002 \)[/tex]
- [tex]\( 7 \times 10^6 = 7,000,000 \)[/tex]
