Question

What is the value of 5.560 × 10⁵ expressed to the power of 10³?

1) 5.560 × 10⁸
2) 5.560 × 10¹⁵
3) 5.560 × 10⁵00
4) 5.560 × 10¹⁵00

Answer 1

The value of (5.560 × 10⁵) to the power of 10³ is 5.560 × 10¹⁵, since when raising a power to another power, the exponents are multiplied together.

Step-by-step explanation:

The question is asking for the result of the expression 5.560 × 10⁵ raised to the power of 10³. To solve this, we need to remember that when raising a power to a power, we multiply the exponents. The base number 5.560 remains the same.

Thus, the value of (5.560 × 10⁵)⁻³ would be 5.560 × 10⁵³, which means we just need to multiply the exponents 5 and 3. The proper calculation would be:

5.560 × 10⁵³ = 5.560 × 105×3 = 5.560 × 1015

The correct answer is option 2: 5.560 × 10¹⁵.