soneee wrote:I am having trouble with this question.
If 5^11 × 4^5 = 5 × 10^k , what is the value of k?
We can solve for k by focusing on the number of 5's on each side of the equation.
5¹¹ * 4� = 5¹ * 10^k.
5¹¹ * 4� =
5¹ * 5^k * 2^k.
Since there are eleven 5's on the lefthand side, there must also be eleven 5's on the righthand side, implying that k=10.
5¹¹ * 4� =
5¹ * 5¹� * 2^k.
5¹¹ * 4� =
5¹¹ * 2^k.
The correct answer is k=
10.
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