Question

Match the powers with their corresponding numbers.

• A. 2000
• B. 8000
• C. 800
• D. 400

Answer 1

$2^4\times 5^3=(2\times 2\times 2\times 2)\times (5\times 5\times 5$
$=(2\times 5)\times (2\times 5)\times (2\times 5)\times 2$
$=(10\times 10\times 10)\times 2$
$=1000\times 2$
$=2000$

$5^3\times 4^3=(5\times 5\times 5)\times (4\times 4\times 4)$
$=(5\times 4)\times (5\times 4)\times (5\times 4)$
$=(20\times 20\times 20)$
$=800$

$2^5\times 5^2=(2\times 2\times 2\times 2\times 2)\times (5\times 5)$
$=(2\times 5)\times (2\times 5)\times (2\times 2\times 2)$
$=(10\times 10)\times 8$
$=100\times 8$
$=800$

$4^2\times 5^2=(4\times 4)\times (5\times 5)$
$=(4\times 5)\times (4\times 5)$
$=(20\times 20)$
$=400$