Question

Write 6^8 • 6^7 as a single power

Answer 1

Write 6^8 • 6^7 as a single power:

$6^8 \times 6^7 = 6^{15}$

Solution:

Given that,

We have to write 6^8 • 6^7 as a single power

Given is:

$6^8 \times 6^7$

Use the following law of exponent

$a^m \times a^n = a^{m+n}$

When, the base is same, powers gets added

Therefore,

$6^8 \times 6^7 = 6^{8+7}\\\\6^8 \times 6^7 = 6^{15}$

Thus the given is written as a single power