Question

Solve the expression given below 3^4 * 9^8 * 3^13 *9^19
A. 3^52 * 9^152
B. 3^17 * 9^27
C. 9^52 * 81^152
D. 6^17 * 18^27

Answer 1

Answer:

Option B is correct.

$3^{4}\times 9^{8}\times 3^{13}\times 9^{19}=3^{17}\times 9^{27}$

Step-by-step explanation:

Given:

The given expression is.

$=3^{4}\times 9^{8}\times 3^{13}\times 9^{19}$

We need to simplify the given expression.

Solution:

The given expression as.

$=3^{4}\times 9^{8}\times 3^{13}\times 9^{19}$

Rewrite the expression by shifting the term.

$=3^{4}\times 3^{13}\times 9^{8}\times 9^{19}$

Using product rule $x^{m}+x^{n}=x^{(m+n)}$

$=3^{(4+13)}\times 9^{(8+19)}$

$=3^{17}\times 9^{27}$

Therefore, option B is correct

$3^{4}\times 9^{8}\times 3^{13}\times 9^{19}=3^{17}\times 9^{27}$