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Basic Mathematics QUESTION #7982
Question 1
If \((7^a)(7^b) = \dfrac{7^c}{7^d}\), what is \(d\) in terms of \(a\), \(b\) and \(c\)?
  • \(\dfrac{c}{ab}\)
  • \(c - a - b\)✔️
  • a + b - c
  • c - ab
Correct Answer Explanation
\(7^a \times 7^b = \dfrac{7^c}{7^d}\)
\(7^{a+b} = 7^{c-d}\)
\(a + b = c - d\)
\(d = c - a - b\)