{
"query": {
"display": "simplificar $$\\frac{x^{5}}{x^{-2}}$$",
"symbolab_question": "SIMPLIFY#simplify \\frac{x^{5}}{x^{-2}}"
},
"solution": {
"level": "PERFORMED",
"subject": "Algebra",
"topic": "Algebra",
"subTopic": "Simplify",
"default": "x^{7}",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "Simplificar $$\\frac{x^{5}}{x^{-2}}:{\\quad}x^{7}$$",
"input": "\\frac{x^{5}}{x^{-2}}",
"steps": [
{
"type": "step",
"primary": "Aplicar las leyes de los exponentes: $$\\frac{x^{a}}{x^{b}}=x^{a-b}$$",
"result": "=x^{5-\\left(-2\\right)}",
"meta": {
"practiceLink": "/practice/exponent-practice",
"practiceTopic": "Expand FOIL"
}
},
{
"type": "interim",
"title": "Simplificar $$x^{5-\\left(-2\\right)}:{\\quad}x^{7}$$",
"input": "x^{5-\\left(-2\\right)}",
"steps": [
{
"type": "step",
"primary": "Aplicar la regla $$-\\left(-a\\right)=a$$",
"result": "=x^{5+2}"
},
{
"type": "step",
"primary": "Sumar: $$5+2=7$$",
"result": "=x^{7}"
}
],
"meta": {
"solvingClass": "Solver",
"interimType": "Algebraic Manipulation Simplify Title 1Eq"
}
},
{
"type": "step",
"result": "=x^{7}"
}
],
"meta": {
"solvingClass": "Solver2"
}
},
"meta": {
"showVerify": true
}
}
Solución
simplificar
Solución
Pasos de solución
Aplicar las leyes de los exponentes:
Simplificar