Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying Powers with the Same Base - Practice and Problem-Solving Exercises - Page 429: 34

$1.5 \times 10^{22}$

$a^m \cdot a^n = a^{m+n}$ Multiply the corresponding parts and use the rule above when necessary to obtain: $=(5\cdot 3) \times (10^{7} \cdot 10^{14}) \\=15 \times 10^{7+14} \\=15 \times 10^{21} \\=(1.5)(10) \times 10^{21} \\=1.5 \times 10^{21+1} \\=1.5 \times 10^{22}$