Download App

Exponents — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsExponents3 Marks
Question
Simplify:
$\left(3^5\right)^{11} \times\left(3^{15}\right)^4-\left(3^5\right)^{18} \times\left(3^5\right)^5$
✓

Answer

$\left(3^5\right)^{11} \times\left(3^{15}\right)^4-\left(3^5\right)^{18} \times\left(3^5\right)^5$
$=3^{55} \times 3^{60}-3^{90} \times 3^{25}$
$=3^{(55+60)}-3^{(90+25)}$
$=3^{(115)}-3^{(115)}$
$=0$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Mark Question" from Exponents→Exponents — all question types→Maths STD 7 question papers→Maharashtra Board STD 7 question papers→Maharashtra Board question paper generator→

Similar questions

A die was thrown 20 times and the following scores were recorded:
5, 2, 1, 3, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 2, 2, 4, 5, 5, 1
Prepare the frequency table of the scores on the upper face of the die and find the mean score.
→
Simplify:
$8\frac{5}{6}-3\frac{3}{8}+1\frac{7}{12}=\frac{53}{6}-\frac{27}{8}+\frac{19}{12}$
→
What should be added to $\Big(\frac{-13}{4}+\frac{-3}{8}\Big)$
→
Simplify:
$\frac{5}{-18}\times\frac{-9}{20}$
→
Find the area of a rhombus having each side equal to 15cm and one of whose diagonals is 24cm.
→
The numbers of children in 10 families of a locality are:
2, 4, 3, 4, 2, 3, 5, 1, 1, 5. Find the mean number of children per family.
→
Find the difference:
$\frac3{1}{5}-\frac{7}{10}=\frac{16\times2}{5\times2}=\frac{32}{10}$
→
The price of a tea set is increased by 5%. If the increased price is Rs. 441, what is its original price?
→
$7+x-x^2$, take away $9+x+3 x^2+7 x^3$
→
A labour is engaged for 20 days on the condition that he will receive Rs. 120 for each day he works and will be fined Rs. 10 for each day he is absent. If he receives Rs. 1880 in all, for how many days did he remain absent?
→