{
"query": {
"display": "simplify $$\\frac{50}{5^{2}}\\cdot\\:2$$",
"symbolab_question": "SIMPLIFY#simplify \\frac{50}{5^{2}}\\cdot 2"
},
"solution": {
"level": "PERFORMED",
"subject": "Algebra",
"topic": "Algebra",
"subTopic": "Simplify",
"default": "4",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "$$\\frac{50}{5^{2}}\\cdot\\:2=4$$",
"input": "\\frac{50}{5^{2}}\\cdot\\:2",
"steps": [
{
"type": "interim",
"title": "Cancel $$\\frac{50}{5^{2}}:{\\quad}2$$",
"input": "\\frac{50}{5^{2}}",
"steps": [
{
"type": "interim",
"title": "Factor $$50:{\\quad}5^{2}\\cdot\\:2$$",
"input": "50",
"steps": [
{
"type": "step",
"primary": "Factor the number: $$50=25\\cdot\\:2$$",
"result": "=25\\cdot\\:2"
},
{
"type": "step",
"primary": "Factor the number: $$25=5^{2}$$",
"result": "=5^{2}\\cdot\\:2"
}
],
"meta": {
"solvingClass": "Solver2",
"interimType": "Generic Factor Specific 1Eq"
}
},
{
"type": "step",
"result": "=\\frac{5^{2}\\cdot\\:2}{5^{2}}"
},
{
"type": "step",
"primary": "Cancel the common factor: $$5^{2}$$",
"result": "=2"
}
],
"meta": {
"solvingClass": "Solver2",
"interimType": "Generic Cancel Title 1Eq",
"gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYtfFJGpgum8SHGRghItJ4BHdd47a0hQ8flDbGsI5To1dE6fIhMGyKYAKBlZdM17hoU3kCh3oevUunZ7/b0qFKBQxNfR7sRPjd9Xa0E8X/gDZIeAl9UuxxVJJz6Usi7VMYQ=="
}
},
{
"type": "step",
"result": "=2\\cdot\\:2"
},
{
"type": "step",
"primary": "Multiply the numbers: $$2\\cdot\\:2=4$$",
"result": "=4"
}
],
"meta": {
"solvingClass": "Solver2"
}
},
"meta": {
"showVerify": true
}
}
Solution
simplify
Solution
Solution steps
Cancel
Factor
Factor the number:
Factor the number:
Cancel the common factor:
Multiply the numbers:
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Frequently Asked Questions (FAQ)
What is (50)/(5^2)*2 ?
The solution to (50)/(5^2)*2 is 4
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